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Finding the Third Proportional to 497,888 and 1,092,528

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Solution

The third proportional to 497,888 and 1,092,528 is: 2,397,361.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,888 : 1,092,528 = 1,092,528 : x
  2. Step 2: Convert to fraction form
    497,888/1,092,528 = 1,092,528/x
  3. Step 3: Cross multiply
    497,888x = 1,092,528 × 1,092,528
  4. Step 4: Simplify right side
    497,888x = 1,193,617,430,784
  5. Step 5: Solve for x
    x = 1,193,617,430,784/497,888
  6. Step 6: Final answer
    x = 2,397,361.32

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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.