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Finding the Third Proportional to 710,690 and 1,160,368

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Solution

The third proportional to 710,690 and 1,160,368 is: 1,894,572.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,690 : 1,160,368 = 1,160,368 : x
  2. Step 2: Convert to fraction form
    710,690/1,160,368 = 1,160,368/x
  3. Step 3: Cross multiply
    710,690x = 1,160,368 × 1,160,368
  4. Step 4: Simplify right side
    710,690x = 1,346,453,895,424
  5. Step 5: Solve for x
    x = 1,346,453,895,424/710,690
  6. Step 6: Final answer
    x = 1,894,572.73

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.