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Finding the Third Proportional to 616,575,083 and 890,844,514

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Solution

The third proportional to 616,575,083 and 890,844,514 is: 1,287,116,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,575,083 : 890,844,514 = 890,844,514 : x
  2. Step 2: Convert to fraction form
    616,575,083/890,844,514 = 890,844,514/x
  3. Step 3: Cross multiply
    616,575,083x = 890,844,514 × 890,844,514
  4. Step 4: Simplify right side
    616,575,083x = 793,603,948,123,896,192
  5. Step 5: Solve for x
    x = 793,603,948,123,896,192/616,575,083
  6. Step 6: Final answer
    x = 1,287,116,476.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.