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Finding the Third Proportional to 932,537 and 1,402,267

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Solution

The third proportional to 932,537 and 1,402,267 is: 2,108,605.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,537 : 1,402,267 = 1,402,267 : x
  2. Step 2: Convert to fraction form
    932,537/1,402,267 = 1,402,267/x
  3. Step 3: Cross multiply
    932,537x = 1,402,267 × 1,402,267
  4. Step 4: Simplify right side
    932,537x = 1,966,352,739,289
  5. Step 5: Solve for x
    x = 1,966,352,739,289/932,537
  6. Step 6: Final answer
    x = 2,108,605.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.