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Finding the Third Proportional to 763,454 and 1,208,703

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Solution

The third proportional to 763,454 and 1,208,703 is: 1,913,622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,454 : 1,208,703 = 1,208,703 : x
  2. Step 2: Convert to fraction form
    763,454/1,208,703 = 1,208,703/x
  3. Step 3: Cross multiply
    763,454x = 1,208,703 × 1,208,703
  4. Step 4: Simplify right side
    763,454x = 1,460,962,942,209
  5. Step 5: Solve for x
    x = 1,460,962,942,209/763,454
  6. Step 6: Final answer
    x = 1,913,622.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.