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Finding the Third Proportional to 790,813 and 1,225,545

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Solution

The third proportional to 790,813 and 1,225,545 is: 1,899,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,813 : 1,225,545 = 1,225,545 : x
  2. Step 2: Convert to fraction form
    790,813/1,225,545 = 1,225,545/x
  3. Step 3: Cross multiply
    790,813x = 1,225,545 × 1,225,545
  4. Step 4: Simplify right side
    790,813x = 1,501,960,547,025
  5. Step 5: Solve for x
    x = 1,501,960,547,025/790,813
  6. Step 6: Final answer
    x = 1,899,261.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.