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Finding the Third Proportional to 864,344 and 1,308,446

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Solution

The third proportional to 864,344 and 1,308,446 is: 1,980,728.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,344 : 1,308,446 = 1,308,446 : x
  2. Step 2: Convert to fraction form
    864,344/1,308,446 = 1,308,446/x
  3. Step 3: Cross multiply
    864,344x = 1,308,446 × 1,308,446
  4. Step 4: Simplify right side
    864,344x = 1,712,030,934,916
  5. Step 5: Solve for x
    x = 1,712,030,934,916/864,344
  6. Step 6: Final answer
    x = 1,980,728.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.