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Finding the Third Proportional to 662,498 and 1,429,970

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Solution

The third proportional to 662,498 and 1,429,970 is: 3,086,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,498 : 1,429,970 = 1,429,970 : x
  2. Step 2: Convert to fraction form
    662,498/1,429,970 = 1,429,970/x
  3. Step 3: Cross multiply
    662,498x = 1,429,970 × 1,429,970
  4. Step 4: Simplify right side
    662,498x = 2,044,814,200,900
  5. Step 5: Solve for x
    x = 2,044,814,200,900/662,498
  6. Step 6: Final answer
    x = 3,086,521.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.