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Finding the Third Proportional to 704,142 and 1,520,526

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Solution

The third proportional to 704,142 and 1,520,526 is: 3,283,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,142 : 1,520,526 = 1,520,526 : x
  2. Step 2: Convert to fraction form
    704,142/1,520,526 = 1,520,526/x
  3. Step 3: Cross multiply
    704,142x = 1,520,526 × 1,520,526
  4. Step 4: Simplify right side
    704,142x = 2,311,999,316,676
  5. Step 5: Solve for x
    x = 2,311,999,316,676/704,142
  6. Step 6: Final answer
    x = 3,283,427.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.