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Finding the Third Proportional to 456,348 and 971,808

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Solution

The third proportional to 456,348 and 971,808 is: 2,069,496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,348 : 971,808 = 971,808 : x
  2. Step 2: Convert to fraction form
    456,348/971,808 = 971,808/x
  3. Step 3: Cross multiply
    456,348x = 971,808 × 971,808
  4. Step 4: Simplify right side
    456,348x = 944,410,788,864
  5. Step 5: Solve for x
    x = 944,410,788,864/456,348
  6. Step 6: Final answer
    x = 2,069,496.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.