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Finding the Third Proportional to 857,316 and 1,862,376

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Solution

The third proportional to 857,316 and 1,862,376 is: 4,045,701.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,316 : 1,862,376 = 1,862,376 : x
  2. Step 2: Convert to fraction form
    857,316/1,862,376 = 1,862,376/x
  3. Step 3: Cross multiply
    857,316x = 1,862,376 × 1,862,376
  4. Step 4: Simplify right side
    857,316x = 3,468,444,365,376
  5. Step 5: Solve for x
    x = 3,468,444,365,376/857,316
  6. Step 6: Final answer
    x = 4,045,701.19

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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.