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Finding the Third Proportional to 461,056,382 and 708,238,983

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Solution

The third proportional to 461,056,382 and 708,238,983 is: 1,087,941,684.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,056,382 : 708,238,983 = 708,238,983 : x
  2. Step 2: Convert to fraction form
    461,056,382/708,238,983 = 708,238,983/x
  3. Step 3: Cross multiply
    461,056,382x = 708,238,983 × 708,238,983
  4. Step 4: Simplify right side
    461,056,382x = 501,602,457,040,874,304
  5. Step 5: Solve for x
    x = 501,602,457,040,874,304/461,056,382
  6. Step 6: Final answer
    x = 1,087,941,684.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.