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Finding the Third Proportional to 798,720 and 1,737,408

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Solution

The third proportional to 798,720 and 1,737,408 is: 3,779,280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,720 : 1,737,408 = 1,737,408 : x
  2. Step 2: Convert to fraction form
    798,720/1,737,408 = 1,737,408/x
  3. Step 3: Cross multiply
    798,720x = 1,737,408 × 1,737,408
  4. Step 4: Simplify right side
    798,720x = 3,018,586,558,464
  5. Step 5: Solve for x
    x = 3,018,586,558,464/798,720
  6. Step 6: Final answer
    x = 3,779,280.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.