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Finding the Third Proportional to 920,358 and 1,971,864

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Solution

The third proportional to 920,358 and 1,971,864 is: 4,224,712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,358 : 1,971,864 = 1,971,864 : x
  2. Step 2: Convert to fraction form
    920,358/1,971,864 = 1,971,864/x
  3. Step 3: Cross multiply
    920,358x = 1,971,864 × 1,971,864
  4. Step 4: Simplify right side
    920,358x = 3,888,247,634,496
  5. Step 5: Solve for x
    x = 3,888,247,634,496/920,358
  6. Step 6: Final answer
    x = 4,224,712.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.