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Finding the Third Proportional to 1,710,358.50 and 3,718,413

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Solution

The third proportional to 1,710,358.50 and 3,718,413 is: 8,084,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710,358.50 : 3,718,413 = 3,718,413 : x
  2. Step 2: Convert to fraction form
    1,710,358.50/3,718,413 = 3,718,413/x
  3. Step 3: Cross multiply
    1,710,358.50x = 3,718,413 × 3,718,413
  4. Step 4: Simplify right side
    1,710,358.50x = 13,826,595,238,569
  5. Step 5: Solve for x
    x = 13,826,595,238,569/1,710,358.50
  6. Step 6: Final answer
    x = 8,084,033.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.