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Finding the Third Proportional to 711,572 and 1,524,840

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Solution

The third proportional to 711,572 and 1,524,840 is: 3,267,606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,572 : 1,524,840 = 1,524,840 : x
  2. Step 2: Convert to fraction form
    711,572/1,524,840 = 1,524,840/x
  3. Step 3: Cross multiply
    711,572x = 1,524,840 × 1,524,840
  4. Step 4: Simplify right side
    711,572x = 2,325,137,025,600
  5. Step 5: Solve for x
    x = 2,325,137,025,600/711,572
  6. Step 6: Final answer
    x = 3,267,606.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.