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Finding the Third Proportional to 488,584,710 and 1,064,960,458

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Solution

The third proportional to 488,584,710 and 1,064,960,458 is: 2,321,277,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,584,710 : 1,064,960,458 = 1,064,960,458 : x
  2. Step 2: Convert to fraction form
    488,584,710/1,064,960,458 = 1,064,960,458/x
  3. Step 3: Cross multiply
    488,584,710x = 1,064,960,458 × 1,064,960,458
  4. Step 4: Simplify right side
    488,584,710x = 1,134,140,777,103,569,792
  5. Step 5: Solve for x
    x = 1,134,140,777,103,569,792/488,584,710
  6. Step 6: Final answer
    x = 2,321,277,669.75

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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.