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Finding the Third Proportional to 581,572 and 1,280,216

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Solution

The third proportional to 581,572 and 1,280,216 is: 2,818,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,572 : 1,280,216 = 1,280,216 : x
  2. Step 2: Convert to fraction form
    581,572/1,280,216 = 1,280,216/x
  3. Step 3: Cross multiply
    581,572x = 1,280,216 × 1,280,216
  4. Step 4: Simplify right side
    581,572x = 1,638,953,006,656
  5. Step 5: Solve for x
    x = 1,638,953,006,656/581,572
  6. Step 6: Final answer
    x = 2,818,142.91

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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.