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Finding the Third Proportional to 799,209 and 1,712,133

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Solution

The third proportional to 799,209 and 1,712,133 is: 3,667,875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,209 : 1,712,133 = 1,712,133 : x
  2. Step 2: Convert to fraction form
    799,209/1,712,133 = 1,712,133/x
  3. Step 3: Cross multiply
    799,209x = 1,712,133 × 1,712,133
  4. Step 4: Simplify right side
    799,209x = 2,931,399,409,689
  5. Step 5: Solve for x
    x = 2,931,399,409,689/799,209
  6. Step 6: Final answer
    x = 3,667,875.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.