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Finding the Third Proportional to 816,702,243 and 1,255,329,870

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Solution

The third proportional to 816,702,243 and 1,255,329,870 is: 1,929,531,963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,702,243 : 1,255,329,870 = 1,255,329,870 : x
  2. Step 2: Convert to fraction form
    816,702,243/1,255,329,870 = 1,255,329,870/x
  3. Step 3: Cross multiply
    816,702,243x = 1,255,329,870 × 1,255,329,870
  4. Step 4: Simplify right side
    816,702,243x = 1,575,853,082,514,216,960
  5. Step 5: Solve for x
    x = 1,575,853,082,514,216,960/816,702,243
  6. Step 6: Final answer
    x = 1,929,531,963.48

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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.