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Finding the Third Proportional to 430,527 and 946,602

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Solution

The third proportional to 430,527 and 946,602 is: 2,081,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,527 : 946,602 = 946,602 : x
  2. Step 2: Convert to fraction form
    430,527/946,602 = 946,602/x
  3. Step 3: Cross multiply
    430,527x = 946,602 × 946,602
  4. Step 4: Simplify right side
    430,527x = 896,055,346,404
  5. Step 5: Solve for x
    x = 896,055,346,404/430,527
  6. Step 6: Final answer
    x = 2,081,298.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.