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Finding the Third Proportional to 408,326,140 and 896,013,920

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Solution

The third proportional to 408,326,140 and 896,013,920 is: 1,966,175,726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,326,140 : 896,013,920 = 896,013,920 : x
  2. Step 2: Convert to fraction form
    408,326,140/896,013,920 = 896,013,920/x
  3. Step 3: Cross multiply
    408,326,140x = 896,013,920 × 896,013,920
  4. Step 4: Simplify right side
    408,326,140x = 802,840,944,833,766,400
  5. Step 5: Solve for x
    x = 802,840,944,833,766,400/408,326,140
  6. Step 6: Final answer
    x = 1,966,175,726.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.