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Finding the Third Proportional to 811,365 and 1,284,776

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Solution

The third proportional to 811,365 and 1,284,776 is: 2,034,410.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,365 : 1,284,776 = 1,284,776 : x
  2. Step 2: Convert to fraction form
    811,365/1,284,776 = 1,284,776/x
  3. Step 3: Cross multiply
    811,365x = 1,284,776 × 1,284,776
  4. Step 4: Simplify right side
    811,365x = 1,650,649,370,176
  5. Step 5: Solve for x
    x = 1,650,649,370,176/811,365
  6. Step 6: Final answer
    x = 2,034,410.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.