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Finding the Third Proportional to 581,974,898 and 1,260,816,196

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Solution

The third proportional to 581,974,898 and 1,260,816,196 is: 2,731,488,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,974,898 : 1,260,816,196 = 1,260,816,196 : x
  2. Step 2: Convert to fraction form
    581,974,898/1,260,816,196 = 1,260,816,196/x
  3. Step 3: Cross multiply
    581,974,898x = 1,260,816,196 × 1,260,816,196
  4. Step 4: Simplify right side
    581,974,898x = 1,589,657,480,095,910,400
  5. Step 5: Solve for x
    x = 1,589,657,480,095,910,400/581,974,898
  6. Step 6: Final answer
    x = 2,731,488,051.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.