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Finding the Third Proportional to 375,072 and 884,854

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Solution

The third proportional to 375,072 and 884,854 is: 2,087,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,072 : 884,854 = 884,854 : x
  2. Step 2: Convert to fraction form
    375,072/884,854 = 884,854/x
  3. Step 3: Cross multiply
    375,072x = 884,854 × 884,854
  4. Step 4: Simplify right side
    375,072x = 782,966,601,316
  5. Step 5: Solve for x
    x = 782,966,601,316/375,072
  6. Step 6: Final answer
    x = 2,087,510.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.