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Finding the Third Proportional to 974,311 and 1,530,539

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Solution

The third proportional to 974,311 and 1,530,539 is: 2,404,314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,311 : 1,530,539 = 1,530,539 : x
  2. Step 2: Convert to fraction form
    974,311/1,530,539 = 1,530,539/x
  3. Step 3: Cross multiply
    974,311x = 1,530,539 × 1,530,539
  4. Step 4: Simplify right side
    974,311x = 2,342,549,630,521
  5. Step 5: Solve for x
    x = 2,342,549,630,521/974,311
  6. Step 6: Final answer
    x = 2,404,314.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.