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Finding the Third Proportional to 387,248 and 849,024

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Solution

The third proportional to 387,248 and 849,024 is: 1,861,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,248 : 849,024 = 849,024 : x
  2. Step 2: Convert to fraction form
    387,248/849,024 = 849,024/x
  3. Step 3: Cross multiply
    387,248x = 849,024 × 849,024
  4. Step 4: Simplify right side
    387,248x = 720,841,752,576
  5. Step 5: Solve for x
    x = 720,841,752,576/387,248
  6. Step 6: Final answer
    x = 1,861,447.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.