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Finding the Third Proportional to 1,358,289 and 1,838,133

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Solution

The third proportional to 1,358,289 and 1,838,133 is: 2,487,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358,289 : 1,838,133 = 1,838,133 : x
  2. Step 2: Convert to fraction form
    1,358,289/1,838,133 = 1,838,133/x
  3. Step 3: Cross multiply
    1,358,289x = 1,838,133 × 1,838,133
  4. Step 4: Simplify right side
    1,358,289x = 3,378,732,925,689
  5. Step 5: Solve for x
    x = 3,378,732,925,689/1,358,289
  6. Step 6: Final answer
    x = 2,487,491.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.