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Finding the Third Proportional to 2,513,470 and 5,425,406

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Solution

The third proportional to 2,513,470 and 5,425,406 is: 11,710,913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513,470 : 5,425,406 = 5,425,406 : x
  2. Step 2: Convert to fraction form
    2,513,470/5,425,406 = 5,425,406/x
  3. Step 3: Cross multiply
    2,513,470x = 5,425,406 × 5,425,406
  4. Step 4: Simplify right side
    2,513,470x = 29,435,030,264,836
  5. Step 5: Solve for x
    x = 29,435,030,264,836/2,513,470
  6. Step 6: Final answer
    x = 11,710,913.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.