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Finding the Third Proportional to 1,278,010 and 2,735,547

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Solution

The third proportional to 1,278,010 and 2,735,547 is: 5,855,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,010 : 2,735,547 = 2,735,547 : x
  2. Step 2: Convert to fraction form
    1,278,010/2,735,547 = 2,735,547/x
  3. Step 3: Cross multiply
    1,278,010x = 2,735,547 × 2,735,547
  4. Step 4: Simplify right side
    1,278,010x = 7,483,217,389,209
  5. Step 5: Solve for x
    x = 7,483,217,389,209/1,278,010
  6. Step 6: Final answer
    x = 5,855,366.85

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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.