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Finding the Third Proportional to 850,496 and 1,370,358

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Solution

The third proportional to 850,496 and 1,370,358 is: 2,207,983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,496 : 1,370,358 = 1,370,358 : x
  2. Step 2: Convert to fraction form
    850,496/1,370,358 = 1,370,358/x
  3. Step 3: Cross multiply
    850,496x = 1,370,358 × 1,370,358
  4. Step 4: Simplify right side
    850,496x = 1,877,881,048,164
  5. Step 5: Solve for x
    x = 1,877,881,048,164/850,496
  6. Step 6: Final answer
    x = 2,207,983.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.