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Finding the Third Proportional to 1,287,792 and 2,829,312

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Solution

The third proportional to 1,287,792 and 2,829,312 is: 6,216,070.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,792 : 2,829,312 = 2,829,312 : x
  2. Step 2: Convert to fraction form
    1,287,792/2,829,312 = 2,829,312/x
  3. Step 3: Cross multiply
    1,287,792x = 2,829,312 × 2,829,312
  4. Step 4: Simplify right side
    1,287,792x = 8,005,006,393,344
  5. Step 5: Solve for x
    x = 8,005,006,393,344/1,287,792
  6. Step 6: Final answer
    x = 6,216,070.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.