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Finding the Third Proportional to 424,132.50 and 921,894

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Solution

The third proportional to 424,132.50 and 921,894 is: 2,003,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,132.50 : 921,894 = 921,894 : x
  2. Step 2: Convert to fraction form
    424,132.50/921,894 = 921,894/x
  3. Step 3: Cross multiply
    424,132.50x = 921,894 × 921,894
  4. Step 4: Simplify right side
    424,132.50x = 849,888,547,236
  5. Step 5: Solve for x
    x = 849,888,547,236/424,132.50
  6. Step 6: Final answer
    x = 2,003,827.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.