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Finding the Third Proportional to 1,688,374 and 2,418,566

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Solution

The third proportional to 1,688,374 and 2,418,566 is: 3,464,553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,374 : 2,418,566 = 2,418,566 : x
  2. Step 2: Convert to fraction form
    1,688,374/2,418,566 = 2,418,566/x
  3. Step 3: Cross multiply
    1,688,374x = 2,418,566 × 2,418,566
  4. Step 4: Simplify right side
    1,688,374x = 5,849,461,496,356
  5. Step 5: Solve for x
    x = 5,849,461,496,356/1,688,374
  6. Step 6: Final answer
    x = 3,464,553.17

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.