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Finding the Third Proportional to 459,932 and 1,005,364

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Solution

The third proportional to 459,932 and 1,005,364 is: 2,197,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,932 : 1,005,364 = 1,005,364 : x
  2. Step 2: Convert to fraction form
    459,932/1,005,364 = 1,005,364/x
  3. Step 3: Cross multiply
    459,932x = 1,005,364 × 1,005,364
  4. Step 4: Simplify right side
    459,932x = 1,010,756,772,496
  5. Step 5: Solve for x
    x = 1,010,756,772,496/459,932
  6. Step 6: Final answer
    x = 2,197,622.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.