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Finding the Third Proportional to 488,584,692 and 1,064,960,424

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Solution

The third proportional to 488,584,692 and 1,064,960,424 is: 2,321,277,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,584,692 : 1,064,960,424 = 1,064,960,424 : x
  2. Step 2: Convert to fraction form
    488,584,692/1,064,960,424 = 1,064,960,424/x
  3. Step 3: Cross multiply
    488,584,692x = 1,064,960,424 × 1,064,960,424
  4. Step 4: Simplify right side
    488,584,692x = 1,134,140,704,686,259,712
  5. Step 5: Solve for x
    x = 1,134,140,704,686,259,712/488,584,692
  6. Step 6: Final answer
    x = 2,321,277,607.05

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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.