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Finding the Third Proportional to 785,797,565 and 1,309,583,681

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Solution

The third proportional to 785,797,565 and 1,309,583,681 is: 2,182,507,930.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,797,565 : 1,309,583,681 = 1,309,583,681 : x
  2. Step 2: Convert to fraction form
    785,797,565/1,309,583,681 = 1,309,583,681/x
  3. Step 3: Cross multiply
    785,797,565x = 1,309,583,681 × 1,309,583,681
  4. Step 4: Simplify right side
    785,797,565x = 1,715,009,417,541,509,888
  5. Step 5: Solve for x
    x = 1,715,009,417,541,509,888/785,797,565
  6. Step 6: Final answer
    x = 2,182,507,930.71

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.