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Finding the Third Proportional to 424,141 and 897,365

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Solution

The third proportional to 424,141 and 897,365 is: 1,898,576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,141 : 897,365 = 897,365 : x
  2. Step 2: Convert to fraction form
    424,141/897,365 = 897,365/x
  3. Step 3: Cross multiply
    424,141x = 897,365 × 897,365
  4. Step 4: Simplify right side
    424,141x = 805,263,943,225
  5. Step 5: Solve for x
    x = 805,263,943,225/424,141
  6. Step 6: Final answer
    x = 1,898,576.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.