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Finding the Third Proportional to 475,281 and 972,702

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Solution

The third proportional to 475,281 and 972,702 is: 1,990,715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,281 : 972,702 = 972,702 : x
  2. Step 2: Convert to fraction form
    475,281/972,702 = 972,702/x
  3. Step 3: Cross multiply
    475,281x = 972,702 × 972,702
  4. Step 4: Simplify right side
    475,281x = 946,149,180,804
  5. Step 5: Solve for x
    x = 946,149,180,804/475,281
  6. Step 6: Final answer
    x = 1,990,715.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.