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Finding the Third Proportional to 972,528.19 and 2,134,225.13

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Solution

The third proportional to 972,528.19 and 2,134,225.13 is: 4,683,583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,528.19 : 2,134,225.13 = 2,134,225.13 : x
  2. Step 2: Convert to fraction form
    972,528.19/2,134,225.13 = 2,134,225.13/x
  3. Step 3: Cross multiply
    972,528.19x = 2,134,225.13 × 2,134,225.13
  4. Step 4: Simplify right side
    972,528.19x = 4,554,916,884,181.27
  5. Step 5: Solve for x
    x = 4,554,916,884,181.27/972,528.19
  6. Step 6: Final answer
    x = 4,683,583.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.