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Finding the Third Proportional to 961,510.50 and 2,051,714.81

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Solution

The third proportional to 961,510.50 and 2,051,714.81 is: 4,378,042.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,510.50 : 2,051,714.81 = 2,051,714.81 : x
  2. Step 2: Convert to fraction form
    961,510.50/2,051,714.81 = 2,051,714.81/x
  3. Step 3: Cross multiply
    961,510.50x = 2,051,714.81 × 2,051,714.81
  4. Step 4: Simplify right side
    961,510.50x = 4,209,533,671,831.91
  5. Step 5: Solve for x
    x = 4,209,533,671,831.91/961,510.50
  6. Step 6: Final answer
    x = 4,378,042.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.