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Finding the Third Proportional to 653,942 and 1,012,989

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Solution

The third proportional to 653,942 and 1,012,989 is: 1,569,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,942 : 1,012,989 = 1,012,989 : x
  2. Step 2: Convert to fraction form
    653,942/1,012,989 = 1,012,989/x
  3. Step 3: Cross multiply
    653,942x = 1,012,989 × 1,012,989
  4. Step 4: Simplify right side
    653,942x = 1,026,146,714,121
  5. Step 5: Solve for x
    x = 1,026,146,714,121/653,942
  6. Step 6: Final answer
    x = 1,569,170.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.