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Finding the Third Proportional to 620,038.13 and 1,328,653.13

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Solution

The third proportional to 620,038.13 and 1,328,653.13 is: 2,847,113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,038.13 : 1,328,653.13 = 1,328,653.13 : x
  2. Step 2: Convert to fraction form
    620,038.13/1,328,653.13 = 1,328,653.13/x
  3. Step 3: Cross multiply
    620,038.13x = 1,328,653.13 × 1,328,653.13
  4. Step 4: Simplify right side
    620,038.13x = 1,765,319,126,572.27
  5. Step 5: Solve for x
    x = 1,765,319,126,572.27/620,038.13
  6. Step 6: Final answer
    x = 2,847,113.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.