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Finding the Third Proportional to 1,016,547 and 2,117,370

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Solution

The third proportional to 1,016,547 and 2,117,370 is: 4,410,278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,547 : 2,117,370 = 2,117,370 : x
  2. Step 2: Convert to fraction form
    1,016,547/2,117,370 = 2,117,370/x
  3. Step 3: Cross multiply
    1,016,547x = 2,117,370 × 2,117,370
  4. Step 4: Simplify right side
    1,016,547x = 4,483,255,716,900
  5. Step 5: Solve for x
    x = 4,483,255,716,900/1,016,547
  6. Step 6: Final answer
    x = 4,410,278.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.