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Finding the Third Proportional to 690,775,052 and 1,127,854,080

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Solution

The third proportional to 690,775,052 and 1,127,854,080 is: 1,841,489,240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,775,052 : 1,127,854,080 = 1,127,854,080 : x
  2. Step 2: Convert to fraction form
    690,775,052/1,127,854,080 = 1,127,854,080/x
  3. Step 3: Cross multiply
    690,775,052x = 1,127,854,080 × 1,127,854,080
  4. Step 4: Simplify right side
    690,775,052x = 1,272,054,825,772,646,400
  5. Step 5: Solve for x
    x = 1,272,054,825,772,646,400/690,775,052
  6. Step 6: Final answer
    x = 1,841,489,240.37

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.