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Finding the Third Proportional to 894,165 and 1,948,953

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Solution

The third proportional to 894,165 and 1,948,953 is: 4,248,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,165 : 1,948,953 = 1,948,953 : x
  2. Step 2: Convert to fraction form
    894,165/1,948,953 = 1,948,953/x
  3. Step 3: Cross multiply
    894,165x = 1,948,953 × 1,948,953
  4. Step 4: Simplify right side
    894,165x = 3,798,417,796,209
  5. Step 5: Solve for x
    x = 3,798,417,796,209/894,165
  6. Step 6: Final answer
    x = 4,248,005.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.