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Finding the Third Proportional to 571,808 and 841,080

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Solution

The third proportional to 571,808 and 841,080 is: 1,237,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,808 : 841,080 = 841,080 : x
  2. Step 2: Convert to fraction form
    571,808/841,080 = 841,080/x
  3. Step 3: Cross multiply
    571,808x = 841,080 × 841,080
  4. Step 4: Simplify right side
    571,808x = 707,415,566,400
  5. Step 5: Solve for x
    x = 707,415,566,400/571,808
  6. Step 6: Final answer
    x = 1,237,155.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.