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Finding the Third Proportional to 535,697.16 and 1,144,045.92

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Solution

The third proportional to 535,697.16 and 1,144,045.92 is: 2,443,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,697.16 : 1,144,045.92 = 1,144,045.92 : x
  2. Step 2: Convert to fraction form
    535,697.16/1,144,045.92 = 1,144,045.92/x
  3. Step 3: Cross multiply
    535,697.16x = 1,144,045.92 × 1,144,045.92
  4. Step 4: Simplify right side
    535,697.16x = 1,308,841,071,358.82
  5. Step 5: Solve for x
    x = 1,308,841,071,358.82/535,697.16
  6. Step 6: Final answer
    x = 2,443,248.12

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Why These Related Problems?

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