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Finding the Third Proportional to 652,106.81 and 1,390,878.56

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Solution

The third proportional to 652,106.81 and 1,390,878.56 is: 2,966,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,106.81 : 1,390,878.56 = 1,390,878.56 : x
  2. Step 2: Convert to fraction form
    652,106.81/1,390,878.56 = 1,390,878.56/x
  3. Step 3: Cross multiply
    652,106.81x = 1,390,878.56 × 1,390,878.56
  4. Step 4: Simplify right side
    652,106.81x = 1,934,543,175,622.07
  5. Step 5: Solve for x
    x = 1,934,543,175,622.07/652,106.81
  6. Step 6: Final answer
    x = 2,966,604.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.