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Finding the Third Proportional to 898,408 and 1,969,076

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Solution

The third proportional to 898,408 and 1,969,076 is: 4,315,700.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,408 : 1,969,076 = 1,969,076 : x
  2. Step 2: Convert to fraction form
    898,408/1,969,076 = 1,969,076/x
  3. Step 3: Cross multiply
    898,408x = 1,969,076 × 1,969,076
  4. Step 4: Simplify right side
    898,408x = 3,877,260,293,776
  5. Step 5: Solve for x
    x = 3,877,260,293,776/898,408
  6. Step 6: Final answer
    x = 4,315,700.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.