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Finding the Third Proportional to 423,416,514 and 917,191,756

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Solution

The third proportional to 423,416,514 and 917,191,756 is: 1,986,792,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,416,514 : 917,191,756 = 917,191,756 : x
  2. Step 2: Convert to fraction form
    423,416,514/917,191,756 = 917,191,756/x
  3. Step 3: Cross multiply
    423,416,514x = 917,191,756 × 917,191,756
  4. Step 4: Simplify right side
    423,416,514x = 841,240,717,274,363,520
  5. Step 5: Solve for x
    x = 841,240,717,274,363,520/423,416,514
  6. Step 6: Final answer
    x = 1,986,792,412.34

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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.