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Finding the Third Proportional to 668,472 and 1,035,572

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Solution

The third proportional to 668,472 and 1,035,572 is: 1,604,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,472 : 1,035,572 = 1,035,572 : x
  2. Step 2: Convert to fraction form
    668,472/1,035,572 = 1,035,572/x
  3. Step 3: Cross multiply
    668,472x = 1,035,572 × 1,035,572
  4. Step 4: Simplify right side
    668,472x = 1,072,409,367,184
  5. Step 5: Solve for x
    x = 1,072,409,367,184/668,472
  6. Step 6: Final answer
    x = 1,604,269.69

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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.