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Finding the Third Proportional to 909,894 and 1,427,232

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Solution

The third proportional to 909,894 and 1,427,232 is: 2,238,712.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,894 : 1,427,232 = 1,427,232 : x
  2. Step 2: Convert to fraction form
    909,894/1,427,232 = 1,427,232/x
  3. Step 3: Cross multiply
    909,894x = 1,427,232 × 1,427,232
  4. Step 4: Simplify right side
    909,894x = 2,036,991,181,824
  5. Step 5: Solve for x
    x = 2,036,991,181,824/909,894
  6. Step 6: Final answer
    x = 2,238,712.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.