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Finding the Third Proportional to 897,008 and 1,373,541

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Solution

The third proportional to 897,008 and 1,373,541 is: 2,103,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,008 : 1,373,541 = 1,373,541 : x
  2. Step 2: Convert to fraction form
    897,008/1,373,541 = 1,373,541/x
  3. Step 3: Cross multiply
    897,008x = 1,373,541 × 1,373,541
  4. Step 4: Simplify right side
    897,008x = 1,886,614,878,681
  5. Step 5: Solve for x
    x = 1,886,614,878,681/897,008
  6. Step 6: Final answer
    x = 2,103,230.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.