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Finding the Third Proportional to 830,282,302 and 1,167,896,606

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Solution

The third proportional to 830,282,302 and 1,167,896,606 is: 1,642,793,636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,282,302 : 1,167,896,606 = 1,167,896,606 : x
  2. Step 2: Convert to fraction form
    830,282,302/1,167,896,606 = 1,167,896,606/x
  3. Step 3: Cross multiply
    830,282,302x = 1,167,896,606 × 1,167,896,606
  4. Step 4: Simplify right side
    830,282,302x = 1,363,982,482,306,319,360
  5. Step 5: Solve for x
    x = 1,363,982,482,306,319,360/830,282,302
  6. Step 6: Final answer
    x = 1,642,793,636.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.