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Finding the Third Proportional to 634,413 and 1,497,090

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Solution

The third proportional to 634,413 and 1,497,090 is: 3,532,838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,413 : 1,497,090 = 1,497,090 : x
  2. Step 2: Convert to fraction form
    634,413/1,497,090 = 1,497,090/x
  3. Step 3: Cross multiply
    634,413x = 1,497,090 × 1,497,090
  4. Step 4: Simplify right side
    634,413x = 2,241,278,468,100
  5. Step 5: Solve for x
    x = 2,241,278,468,100/634,413
  6. Step 6: Final answer
    x = 3,532,838.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.