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Finding the Third Proportional to 668,232 and 1,402,074

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Solution

The third proportional to 668,232 and 1,402,074 is: 2,941,809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,232 : 1,402,074 = 1,402,074 : x
  2. Step 2: Convert to fraction form
    668,232/1,402,074 = 1,402,074/x
  3. Step 3: Cross multiply
    668,232x = 1,402,074 × 1,402,074
  4. Step 4: Simplify right side
    668,232x = 1,965,811,501,476
  5. Step 5: Solve for x
    x = 1,965,811,501,476/668,232
  6. Step 6: Final answer
    x = 2,941,809.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.