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Finding the Third Proportional to 499,044 and 810,854

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Solution

The third proportional to 499,044 and 810,854 is: 1,317,487.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,044 : 810,854 = 810,854 : x
  2. Step 2: Convert to fraction form
    499,044/810,854 = 810,854/x
  3. Step 3: Cross multiply
    499,044x = 810,854 × 810,854
  4. Step 4: Simplify right side
    499,044x = 657,484,209,316
  5. Step 5: Solve for x
    x = 657,484,209,316/499,044
  6. Step 6: Final answer
    x = 1,317,487.45

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.