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Finding the Third Proportional to 862,382 and 1,875,769

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Solution

The third proportional to 862,382 and 1,875,769 is: 4,079,989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,382 : 1,875,769 = 1,875,769 : x
  2. Step 2: Convert to fraction form
    862,382/1,875,769 = 1,875,769/x
  3. Step 3: Cross multiply
    862,382x = 1,875,769 × 1,875,769
  4. Step 4: Simplify right side
    862,382x = 3,518,509,341,361
  5. Step 5: Solve for x
    x = 3,518,509,341,361/862,382
  6. Step 6: Final answer
    x = 4,079,989.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.