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Finding the Third Proportional to 4,074,408 and 8,634,585

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Solution

The third proportional to 4,074,408 and 8,634,585 is: 18,298,623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074,408 : 8,634,585 = 8,634,585 : x
  2. Step 2: Convert to fraction form
    4,074,408/8,634,585 = 8,634,585/x
  3. Step 3: Cross multiply
    4,074,408x = 8,634,585 × 8,634,585
  4. Step 4: Simplify right side
    4,074,408x = 74,556,058,122,225
  5. Step 5: Solve for x
    x = 74,556,058,122,225/4,074,408
  6. Step 6: Final answer
    x = 18,298,623.54

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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.