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Finding the Third Proportional to 424,977 and 915,528

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Solution

The third proportional to 424,977 and 915,528 is: 1,972,322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,977 : 915,528 = 915,528 : x
  2. Step 2: Convert to fraction form
    424,977/915,528 = 915,528/x
  3. Step 3: Cross multiply
    424,977x = 915,528 × 915,528
  4. Step 4: Simplify right side
    424,977x = 838,191,518,784
  5. Step 5: Solve for x
    x = 838,191,518,784/424,977
  6. Step 6: Final answer
    x = 1,972,322.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.