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Finding the Third Proportional to 896,924 and 1,208,347

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Solution

The third proportional to 896,924 and 1,208,347 is: 1,627,899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,924 : 1,208,347 = 1,208,347 : x
  2. Step 2: Convert to fraction form
    896,924/1,208,347 = 1,208,347/x
  3. Step 3: Cross multiply
    896,924x = 1,208,347 × 1,208,347
  4. Step 4: Simplify right side
    896,924x = 1,460,102,472,409
  5. Step 5: Solve for x
    x = 1,460,102,472,409/896,924
  6. Step 6: Final answer
    x = 1,627,899.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.