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Finding the Third Proportional to 1,685,568 and 3,569,376

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Solution

The third proportional to 1,685,568 and 3,569,376 is: 7,558,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685,568 : 3,569,376 = 3,569,376 : x
  2. Step 2: Convert to fraction form
    1,685,568/3,569,376 = 3,569,376/x
  3. Step 3: Cross multiply
    1,685,568x = 3,569,376 × 3,569,376
  4. Step 4: Simplify right side
    1,685,568x = 12,740,445,029,376
  5. Step 5: Solve for x
    x = 12,740,445,029,376/1,685,568
  6. Step 6: Final answer
    x = 7,558,547.05

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.