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Finding the Third Proportional to 572,040 and 841,536

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Solution

The third proportional to 572,040 and 841,536 is: 1,237,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,040 : 841,536 = 841,536 : x
  2. Step 2: Convert to fraction form
    572,040/841,536 = 841,536/x
  3. Step 3: Cross multiply
    572,040x = 841,536 × 841,536
  4. Step 4: Simplify right side
    572,040x = 708,182,839,296
  5. Step 5: Solve for x
    x = 708,182,839,296/572,040
  6. Step 6: Final answer
    x = 1,237,995.31

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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.