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Finding the Third Proportional to 816,702,240 and 1,255,329,864

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Solution

The third proportional to 816,702,240 and 1,255,329,864 is: 1,929,531,952.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,702,240 : 1,255,329,864 = 1,255,329,864 : x
  2. Step 2: Convert to fraction form
    816,702,240/1,255,329,864 = 1,255,329,864/x
  3. Step 3: Cross multiply
    816,702,240x = 1,255,329,864 × 1,255,329,864
  4. Step 4: Simplify right side
    816,702,240x = 1,575,853,067,450,258,432
  5. Step 5: Solve for x
    x = 1,575,853,067,450,258,432/816,702,240
  6. Step 6: Final answer
    x = 1,929,531,952.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.