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Finding the Third Proportional to 896,798 and 1,332,421

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Solution

The third proportional to 896,798 and 1,332,421 is: 1,979,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,798 : 1,332,421 = 1,332,421 : x
  2. Step 2: Convert to fraction form
    896,798/1,332,421 = 1,332,421/x
  3. Step 3: Cross multiply
    896,798x = 1,332,421 × 1,332,421
  4. Step 4: Simplify right side
    896,798x = 1,775,345,721,241
  5. Step 5: Solve for x
    x = 1,775,345,721,241/896,798
  6. Step 6: Final answer
    x = 1,979,649.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.