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Finding the Third Proportional to 535,697.17 and 1,144,045.95

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Solution

The third proportional to 535,697.17 and 1,144,045.95 is: 2,443,248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,697.17 : 1,144,045.95 = 1,144,045.95 : x
  2. Step 2: Convert to fraction form
    535,697.17/1,144,045.95 = 1,144,045.95/x
  3. Step 3: Cross multiply
    535,697.17x = 1,144,045.95 × 1,144,045.95
  4. Step 4: Simplify right side
    535,697.17x = 1,308,841,142,861.69
  5. Step 5: Solve for x
    x = 1,308,841,142,861.69/535,697.17
  6. Step 6: Final answer
    x = 2,443,248.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.