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Finding the Third Proportional to 411,319.69 and 917,159.53

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Solution

The third proportional to 411,319.69 and 917,159.53 is: 2,045,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,319.69 : 917,159.53 = 917,159.53 : x
  2. Step 2: Convert to fraction form
    411,319.69/917,159.53 = 917,159.53/x
  3. Step 3: Cross multiply
    411,319.69x = 917,159.53 × 917,159.53
  4. Step 4: Simplify right side
    411,319.69x = 841,181,605,762.72
  5. Step 5: Solve for x
    x = 841,181,605,762.72/411,319.69
  6. Step 6: Final answer
    x = 2,045,079.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.