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Finding the Third Proportional to 488,584,714 and 1,064,960,466

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Solution

The third proportional to 488,584,714 and 1,064,960,466 is: 2,321,277,685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,584,714 : 1,064,960,466 = 1,064,960,466 : x
  2. Step 2: Convert to fraction form
    488,584,714/1,064,960,466 = 1,064,960,466/x
  3. Step 3: Cross multiply
    488,584,714x = 1,064,960,466 × 1,064,960,466
  4. Step 4: Simplify right side
    488,584,714x = 1,134,140,794,142,937,216
  5. Step 5: Solve for x
    x = 1,134,140,794,142,937,216/488,584,714
  6. Step 6: Final answer
    x = 2,321,277,685.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.