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Finding the Third Proportional to 461,873,576 and 1,005,055,528

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Solution

The third proportional to 461,873,576 and 1,005,055,528 is: 2,187,041,361.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,873,576 : 1,005,055,528 = 1,005,055,528 : x
  2. Step 2: Convert to fraction form
    461,873,576/1,005,055,528 = 1,005,055,528/x
  3. Step 3: Cross multiply
    461,873,576x = 1,005,055,528 × 1,005,055,528
  4. Step 4: Simplify right side
    461,873,576x = 1,010,136,614,363,358,720
  5. Step 5: Solve for x
    x = 1,010,136,614,363,358,720/461,873,576
  6. Step 6: Final answer
    x = 2,187,041,361.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.