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Finding the Third Proportional to 912,120.19 and 2,111,320.13

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Solution

The third proportional to 912,120.19 and 2,111,320.13 is: 4,887,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,120.19 : 2,111,320.13 = 2,111,320.13 : x
  2. Step 2: Convert to fraction form
    912,120.19/2,111,320.13 = 2,111,320.13/x
  3. Step 3: Cross multiply
    912,120.19x = 2,111,320.13 × 2,111,320.13
  4. Step 4: Simplify right side
    912,120.19x = 4,457,672,670,230.02
  5. Step 5: Solve for x
    x = 4,457,672,670,230.02/912,120.19
  6. Step 6: Final answer
    x = 4,887,154.93

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.