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Finding the Third Proportional to 970,729,566 and 1,373,552,589

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Solution

The third proportional to 970,729,566 and 1,373,552,589 is: 1,943,534,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,729,566 : 1,373,552,589 = 1,373,552,589 : x
  2. Step 2: Convert to fraction form
    970,729,566/1,373,552,589 = 1,373,552,589/x
  3. Step 3: Cross multiply
    970,729,566x = 1,373,552,589 × 1,373,552,589
  4. Step 4: Simplify right side
    970,729,566x = 1,886,646,714,748,602,880
  5. Step 5: Solve for x
    x = 1,886,646,714,748,602,880/970,729,566
  6. Step 6: Final answer
    x = 1,943,534,822.50

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Why These Related Problems?

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