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Finding the Third Proportional to 654,970 and 1,041,502

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Solution

The third proportional to 654,970 and 1,041,502 is: 1,656,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,970 : 1,041,502 = 1,041,502 : x
  2. Step 2: Convert to fraction form
    654,970/1,041,502 = 1,041,502/x
  3. Step 3: Cross multiply
    654,970x = 1,041,502 × 1,041,502
  4. Step 4: Simplify right side
    654,970x = 1,084,726,416,004
  5. Step 5: Solve for x
    x = 1,084,726,416,004/654,970
  6. Step 6: Final answer
    x = 1,656,146.72

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.