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Finding the Third Proportional to 2,846,461.50 and 4,162,929.19

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Solution

The third proportional to 2,846,461.50 and 4,162,929.19 is: 6,088,253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846,461.50 : 4,162,929.19 = 4,162,929.19 : x
  2. Step 2: Convert to fraction form
    2,846,461.50/4,162,929.19 = 4,162,929.19/x
  3. Step 3: Cross multiply
    2,846,461.50x = 4,162,929.19 × 4,162,929.19
  4. Step 4: Simplify right side
    2,846,461.50x = 17,329,979,420,139.41
  5. Step 5: Solve for x
    x = 17,329,979,420,139.41/2,846,461.50
  6. Step 6: Final answer
    x = 6,088,253.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.