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Finding the Third Proportional to 584,559,091 and 1,272,024,470

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Solution

The third proportional to 584,559,091 and 1,272,024,470 is: 2,767,977,227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,559,091 : 1,272,024,470 = 1,272,024,470 : x
  2. Step 2: Convert to fraction form
    584,559,091/1,272,024,470 = 1,272,024,470/x
  3. Step 3: Cross multiply
    584,559,091x = 1,272,024,470 × 1,272,024,470
  4. Step 4: Simplify right side
    584,559,091x = 1,618,046,252,278,780,928
  5. Step 5: Solve for x
    x = 1,618,046,252,278,780,928/584,559,091
  6. Step 6: Final answer
    x = 2,767,977,227.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.