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Finding the Third Proportional to 430,506 and 939,694

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Solution

The third proportional to 430,506 and 939,694 is: 2,051,132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,506 : 939,694 = 939,694 : x
  2. Step 2: Convert to fraction form
    430,506/939,694 = 939,694/x
  3. Step 3: Cross multiply
    430,506x = 939,694 × 939,694
  4. Step 4: Simplify right side
    430,506x = 883,024,813,636
  5. Step 5: Solve for x
    x = 883,024,813,636/430,506
  6. Step 6: Final answer
    x = 2,051,132.42

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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.