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Finding the Third Proportional to 657,594 and 1,413,464

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Solution

The third proportional to 657,594 and 1,413,464 is: 3,038,167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,594 : 1,413,464 = 1,413,464 : x
  2. Step 2: Convert to fraction form
    657,594/1,413,464 = 1,413,464/x
  3. Step 3: Cross multiply
    657,594x = 1,413,464 × 1,413,464
  4. Step 4: Simplify right side
    657,594x = 1,997,880,479,296
  5. Step 5: Solve for x
    x = 1,997,880,479,296/657,594
  6. Step 6: Final answer
    x = 3,038,167.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.