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Finding the Third Proportional to 571,581 and 841,581

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Solution

The third proportional to 571,581 and 841,581 is: 1,239,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,581 : 841,581 = 841,581 : x
  2. Step 2: Convert to fraction form
    571,581/841,581 = 841,581/x
  3. Step 3: Cross multiply
    571,581x = 841,581 × 841,581
  4. Step 4: Simplify right side
    571,581x = 708,258,579,561
  5. Step 5: Solve for x
    x = 708,258,579,561/571,581
  6. Step 6: Final answer
    x = 1,239,121.98

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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.