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Finding the Third Proportional to 2,884,946.63 and 4,568,243.63

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Solution

The third proportional to 2,884,946.63 and 4,568,243.63 is: 7,233,703.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884,946.63 : 4,568,243.63 = 4,568,243.63 : x
  2. Step 2: Convert to fraction form
    2,884,946.63/4,568,243.63 = 4,568,243.63/x
  3. Step 3: Cross multiply
    2,884,946.63x = 4,568,243.63 × 4,568,243.63
  4. Step 4: Simplify right side
    2,884,946.63x = 20,868,849,817,353.14
  5. Step 5: Solve for x
    x = 20,868,849,817,353.14/2,884,946.63
  6. Step 6: Final answer
    x = 7,233,703.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.