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Finding the Third Proportional to 700,153 and 1,535,845

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Solution

The third proportional to 700,153 and 1,535,845 is: 3,369,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,153 : 1,535,845 = 1,535,845 : x
  2. Step 2: Convert to fraction form
    700,153/1,535,845 = 1,535,845/x
  3. Step 3: Cross multiply
    700,153x = 1,535,845 × 1,535,845
  4. Step 4: Simplify right side
    700,153x = 2,358,819,864,025
  5. Step 5: Solve for x
    x = 2,358,819,864,025/700,153
  6. Step 6: Final answer
    x = 3,369,006.29

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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.