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Finding the Third Proportional to 1,020,304 and 1,525,123

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Solution

The third proportional to 1,020,304 and 1,525,123 is: 2,279,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,304 : 1,525,123 = 1,525,123 : x
  2. Step 2: Convert to fraction form
    1,020,304/1,525,123 = 1,525,123/x
  3. Step 3: Cross multiply
    1,020,304x = 1,525,123 × 1,525,123
  4. Step 4: Simplify right side
    1,020,304x = 2,326,000,165,129
  5. Step 5: Solve for x
    x = 2,326,000,165,129/1,020,304
  6. Step 6: Final answer
    x = 2,279,712.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.