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Finding the Third Proportional to 712,896,228 and 1,134,358,020

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Solution

The third proportional to 712,896,228 and 1,134,358,020 is: 1,804,986,570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,896,228 : 1,134,358,020 = 1,134,358,020 : x
  2. Step 2: Convert to fraction form
    712,896,228/1,134,358,020 = 1,134,358,020/x
  3. Step 3: Cross multiply
    712,896,228x = 1,134,358,020 × 1,134,358,020
  4. Step 4: Simplify right side
    712,896,228x = 1,286,768,117,538,320,384
  5. Step 5: Solve for x
    x = 1,286,768,117,538,320,384/712,896,228
  6. Step 6: Final answer
    x = 1,804,986,570.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.