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Finding the Third Proportional to 571,814 and 841,090

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Solution

The third proportional to 571,814 and 841,090 is: 1,237,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,814 : 841,090 = 841,090 : x
  2. Step 2: Convert to fraction form
    571,814/841,090 = 841,090/x
  3. Step 3: Cross multiply
    571,814x = 841,090 × 841,090
  4. Step 4: Simplify right side
    571,814x = 707,432,388,100
  5. Step 5: Solve for x
    x = 707,432,388,100/571,814
  6. Step 6: Final answer
    x = 1,237,172.21

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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.