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Finding the Third Proportional to 427,583.18 and 929,590.80

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Solution

The third proportional to 427,583.18 and 929,590.80 is: 2,020,984.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,583.18 : 929,590.80 = 929,590.80 : x
  2. Step 2: Convert to fraction form
    427,583.18/929,590.80 = 929,590.80/x
  3. Step 3: Cross multiply
    427,583.18x = 929,590.80 × 929,590.80
  4. Step 4: Simplify right side
    427,583.18x = 864,139,064,159.55
  5. Step 5: Solve for x
    x = 864,139,064,159.55/427,583.18
  6. Step 6: Final answer
    x = 2,020,984.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.