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Finding the Third Proportional to 472,140 and 1,023,032

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Solution

The third proportional to 472,140 and 1,023,032 is: 2,216,703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,140 : 1,023,032 = 1,023,032 : x
  2. Step 2: Convert to fraction form
    472,140/1,023,032 = 1,023,032/x
  3. Step 3: Cross multiply
    472,140x = 1,023,032 × 1,023,032
  4. Step 4: Simplify right side
    472,140x = 1,046,594,473,024
  5. Step 5: Solve for x
    x = 1,046,594,473,024/472,140
  6. Step 6: Final answer
    x = 2,216,703.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.