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Finding the Third Proportional to 654,565,302 and 1,016,337,415

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Solution

The third proportional to 654,565,302 and 1,016,337,415 is: 1,578,057,587.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,565,302 : 1,016,337,415 = 1,016,337,415 : x
  2. Step 2: Convert to fraction form
    654,565,302/1,016,337,415 = 1,016,337,415/x
  3. Step 3: Cross multiply
    654,565,302x = 1,016,337,415 × 1,016,337,415
  4. Step 4: Simplify right side
    654,565,302x = 1,032,941,741,128,882,176
  5. Step 5: Solve for x
    x = 1,032,941,741,128,882,176/654,565,302
  6. Step 6: Final answer
    x = 1,578,057,587.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.