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Finding the Third Proportional to 754,317 and 1,648,602

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Solution

The third proportional to 754,317 and 1,648,602 is: 3,603,111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,317 : 1,648,602 = 1,648,602 : x
  2. Step 2: Convert to fraction form
    754,317/1,648,602 = 1,648,602/x
  3. Step 3: Cross multiply
    754,317x = 1,648,602 × 1,648,602
  4. Step 4: Simplify right side
    754,317x = 2,717,888,554,404
  5. Step 5: Solve for x
    x = 2,717,888,554,404/754,317
  6. Step 6: Final answer
    x = 3,603,111.89

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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.