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Finding the Third Proportional to 430,024 and 917,080

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Solution

The third proportional to 430,024 and 917,080 is: 1,955,787.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,024 : 917,080 = 917,080 : x
  2. Step 2: Convert to fraction form
    430,024/917,080 = 917,080/x
  3. Step 3: Cross multiply
    430,024x = 917,080 × 917,080
  4. Step 4: Simplify right side
    430,024x = 841,035,726,400
  5. Step 5: Solve for x
    x = 841,035,726,400/430,024
  6. Step 6: Final answer
    x = 1,955,787.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.