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Finding the Third Proportional to 602,459 and 1,304,101

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Solution

The third proportional to 602,459 and 1,304,101 is: 2,822,896.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,459 : 1,304,101 = 1,304,101 : x
  2. Step 2: Convert to fraction form
    602,459/1,304,101 = 1,304,101/x
  3. Step 3: Cross multiply
    602,459x = 1,304,101 × 1,304,101
  4. Step 4: Simplify right side
    602,459x = 1,700,679,418,201
  5. Step 5: Solve for x
    x = 1,700,679,418,201/602,459
  6. Step 6: Final answer
    x = 2,822,896.53

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Why These Related Problems?

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