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Finding the Third Proportional to 668,319 and 1,036,415

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Solution

The third proportional to 668,319 and 1,036,415 is: 1,607,250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,319 : 1,036,415 = 1,036,415 : x
  2. Step 2: Convert to fraction form
    668,319/1,036,415 = 1,036,415/x
  3. Step 3: Cross multiply
    668,319x = 1,036,415 × 1,036,415
  4. Step 4: Simplify right side
    668,319x = 1,074,156,052,225
  5. Step 5: Solve for x
    x = 1,074,156,052,225/668,319
  6. Step 6: Final answer
    x = 1,607,250.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.