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Finding the Third Proportional to 947,982 and 1,341,365

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Solution

The third proportional to 947,982 and 1,341,365 is: 1,897,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,982 : 1,341,365 = 1,341,365 : x
  2. Step 2: Convert to fraction form
    947,982/1,341,365 = 1,341,365/x
  3. Step 3: Cross multiply
    947,982x = 1,341,365 × 1,341,365
  4. Step 4: Simplify right side
    947,982x = 1,799,260,063,225
  5. Step 5: Solve for x
    x = 1,799,260,063,225/947,982
  6. Step 6: Final answer
    x = 1,897,989.69

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.