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Finding the Third Proportional to 1,002,258 and 2,185,411.50

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Solution

The third proportional to 1,002,258 and 2,185,411.50 is: 4,765,263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,258 : 2,185,411.50 = 2,185,411.50 : x
  2. Step 2: Convert to fraction form
    1,002,258/2,185,411.50 = 2,185,411.50/x
  3. Step 3: Cross multiply
    1,002,258x = 2,185,411.50 × 2,185,411.50
  4. Step 4: Simplify right side
    1,002,258x = 4,776,023,424,332.25
  5. Step 5: Solve for x
    x = 4,776,023,424,332.25/1,002,258
  6. Step 6: Final answer
    x = 4,765,263.46

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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.