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Finding the Third Proportional to 709,278 and 1,064,625

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Solution

The third proportional to 709,278 and 1,064,625 is: 1,598,000.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,278 : 1,064,625 = 1,064,625 : x
  2. Step 2: Convert to fraction form
    709,278/1,064,625 = 1,064,625/x
  3. Step 3: Cross multiply
    709,278x = 1,064,625 × 1,064,625
  4. Step 4: Simplify right side
    709,278x = 1,133,426,390,625
  5. Step 5: Solve for x
    x = 1,133,426,390,625/709,278
  6. Step 6: Final answer
    x = 1,598,000.21

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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.