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Finding the Third Proportional to 862,386 and 1,875,777

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Solution

The third proportional to 862,386 and 1,875,777 is: 4,080,005.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,386 : 1,875,777 = 1,875,777 : x
  2. Step 2: Convert to fraction form
    862,386/1,875,777 = 1,875,777/x
  3. Step 3: Cross multiply
    862,386x = 1,875,777 × 1,875,777
  4. Step 4: Simplify right side
    862,386x = 3,518,539,353,729
  5. Step 5: Solve for x
    x = 3,518,539,353,729/862,386
  6. Step 6: Final answer
    x = 4,080,005.19

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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.