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Finding the Third Proportional to 809,873,498 and 1,209,503,208

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Solution

The third proportional to 809,873,498 and 1,209,503,208 is: 1,806,329,030.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,873,498 : 1,209,503,208 = 1,209,503,208 : x
  2. Step 2: Convert to fraction form
    809,873,498/1,209,503,208 = 1,209,503,208/x
  3. Step 3: Cross multiply
    809,873,498x = 1,209,503,208 × 1,209,503,208
  4. Step 4: Simplify right side
    809,873,498x = 1,462,898,010,162,291,200
  5. Step 5: Solve for x
    x = 1,462,898,010,162,291,200/809,873,498
  6. Step 6: Final answer
    x = 1,806,329,030.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.