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Finding the Third Proportional to 438,528 and 1,025,280

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Solution

The third proportional to 438,528 and 1,025,280 is: 2,397,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,528 : 1,025,280 = 1,025,280 : x
  2. Step 2: Convert to fraction form
    438,528/1,025,280 = 1,025,280/x
  3. Step 3: Cross multiply
    438,528x = 1,025,280 × 1,025,280
  4. Step 4: Simplify right side
    438,528x = 1,051,199,078,400
  5. Step 5: Solve for x
    x = 1,051,199,078,400/438,528
  6. Step 6: Final answer
    x = 2,397,108.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.