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Finding the Third Proportional to 776,283 and 1,697,394

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Solution

The third proportional to 776,283 and 1,697,394 is: 3,711,463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,283 : 1,697,394 = 1,697,394 : x
  2. Step 2: Convert to fraction form
    776,283/1,697,394 = 1,697,394/x
  3. Step 3: Cross multiply
    776,283x = 1,697,394 × 1,697,394
  4. Step 4: Simplify right side
    776,283x = 2,881,146,391,236
  5. Step 5: Solve for x
    x = 2,881,146,391,236/776,283
  6. Step 6: Final answer
    x = 3,711,463.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.