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Finding the Third Proportional to 423,384 and 915,024

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Solution

The third proportional to 423,384 and 915,024 is: 1,977,563.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,384 : 915,024 = 915,024 : x
  2. Step 2: Convert to fraction form
    423,384/915,024 = 915,024/x
  3. Step 3: Cross multiply
    423,384x = 915,024 × 915,024
  4. Step 4: Simplify right side
    423,384x = 837,268,920,576
  5. Step 5: Solve for x
    x = 837,268,920,576/423,384
  6. Step 6: Final answer
    x = 1,977,563.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.