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Finding the Third Proportional to 709,205 and 1,064,535

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Solution

The third proportional to 709,205 and 1,064,535 is: 1,597,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,205 : 1,064,535 = 1,064,535 : x
  2. Step 2: Convert to fraction form
    709,205/1,064,535 = 1,064,535/x
  3. Step 3: Cross multiply
    709,205x = 1,064,535 × 1,064,535
  4. Step 4: Simplify right side
    709,205x = 1,133,234,766,225
  5. Step 5: Solve for x
    x = 1,133,234,766,225/709,205
  6. Step 6: Final answer
    x = 1,597,894.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.