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Finding the Third Proportional to 1,065,796,442 and 1,598,694,555

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Solution

The third proportional to 1,065,796,442 and 1,598,694,555 is: 2,398,041,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,796,442 : 1,598,694,555 = 1,598,694,555 : x
  2. Step 2: Convert to fraction form
    1,065,796,442/1,598,694,555 = 1,598,694,555/x
  3. Step 3: Cross multiply
    1,065,796,442x = 1,598,694,555 × 1,598,694,555
  4. Step 4: Simplify right side
    1,065,796,442x = 2,555,824,280,186,648,064
  5. Step 5: Solve for x
    x = 2,555,824,280,186,648,064/1,065,796,442
  6. Step 6: Final answer
    x = 2,398,041,670.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.