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Finding the Third Proportional to 720,600 and 1,564,271

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Solution

The third proportional to 720,600 and 1,564,271 is: 3,395,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,600 : 1,564,271 = 1,564,271 : x
  2. Step 2: Convert to fraction form
    720,600/1,564,271 = 1,564,271/x
  3. Step 3: Cross multiply
    720,600x = 1,564,271 × 1,564,271
  4. Step 4: Simplify right side
    720,600x = 2,446,943,761,441
  5. Step 5: Solve for x
    x = 2,446,943,761,441/720,600
  6. Step 6: Final answer
    x = 3,395,703.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.