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Finding the Third Proportional to 417,468 and 893,967

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Solution

The third proportional to 417,468 and 893,967 is: 1,914,343.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,468 : 893,967 = 893,967 : x
  2. Step 2: Convert to fraction form
    417,468/893,967 = 893,967/x
  3. Step 3: Cross multiply
    417,468x = 893,967 × 893,967
  4. Step 4: Simplify right side
    417,468x = 799,176,997,089
  5. Step 5: Solve for x
    x = 799,176,997,089/417,468
  6. Step 6: Final answer
    x = 1,914,343.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.