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Finding the Third Proportional to 1,123,125,283 and 1,752,679,850

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Solution

The third proportional to 1,123,125,283 and 1,752,679,850 is: 2,735,123,768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123,125,283 : 1,752,679,850 = 1,752,679,850 : x
  2. Step 2: Convert to fraction form
    1,123,125,283/1,752,679,850 = 1,752,679,850/x
  3. Step 3: Cross multiply
    1,123,125,283x = 1,752,679,850 × 1,752,679,850
  4. Step 4: Simplify right side
    1,123,125,283x = 3,071,886,656,596,022,272
  5. Step 5: Solve for x
    x = 3,071,886,656,596,022,272/1,123,125,283
  6. Step 6: Final answer
    x = 2,735,123,768.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.