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Finding the Third Proportional to 1,685,358 and 3,686,019

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Solution

The third proportional to 1,685,358 and 3,686,019 is: 8,061,632.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685,358 : 3,686,019 = 3,686,019 : x
  2. Step 2: Convert to fraction form
    1,685,358/3,686,019 = 3,686,019/x
  3. Step 3: Cross multiply
    1,685,358x = 3,686,019 × 3,686,019
  4. Step 4: Simplify right side
    1,685,358x = 13,586,736,068,361
  5. Step 5: Solve for x
    x = 13,586,736,068,361/1,685,358
  6. Step 6: Final answer
    x = 8,061,632.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.