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Finding the Third Proportional to 930,465 and 2,015,506

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Solution

The third proportional to 930,465 and 2,015,506 is: 4,365,843.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,465 : 2,015,506 = 2,015,506 : x
  2. Step 2: Convert to fraction form
    930,465/2,015,506 = 2,015,506/x
  3. Step 3: Cross multiply
    930,465x = 2,015,506 × 2,015,506
  4. Step 4: Simplify right side
    930,465x = 4,062,264,436,036
  5. Step 5: Solve for x
    x = 4,062,264,436,036/930,465
  6. Step 6: Final answer
    x = 4,365,843.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.