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Finding the Third Proportional to 772,983 and 1,660,248

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Solution

The third proportional to 772,983 and 1,660,248 is: 3,565,956.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,983 : 1,660,248 = 1,660,248 : x
  2. Step 2: Convert to fraction form
    772,983/1,660,248 = 1,660,248/x
  3. Step 3: Cross multiply
    772,983x = 1,660,248 × 1,660,248
  4. Step 4: Simplify right side
    772,983x = 2,756,423,421,504
  5. Step 5: Solve for x
    x = 2,756,423,421,504/772,983
  6. Step 6: Final answer
    x = 3,565,956.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.