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Finding the Third Proportional to 1,710,853.50 and 3,674,427

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Solution

The third proportional to 1,710,853.50 and 3,674,427 is: 7,891,624.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710,853.50 : 3,674,427 = 3,674,427 : x
  2. Step 2: Convert to fraction form
    1,710,853.50/3,674,427 = 3,674,427/x
  3. Step 3: Cross multiply
    1,710,853.50x = 3,674,427 × 3,674,427
  4. Step 4: Simplify right side
    1,710,853.50x = 13,501,413,778,329
  5. Step 5: Solve for x
    x = 13,501,413,778,329/1,710,853.50
  6. Step 6: Final answer
    x = 7,891,624.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.