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Finding the Third Proportional to 1,210,767.75 and 2,547,018

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Solution

The third proportional to 1,210,767.75 and 2,547,018 is: 5,358,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,767.75 : 2,547,018 = 2,547,018 : x
  2. Step 2: Convert to fraction form
    1,210,767.75/2,547,018 = 2,547,018/x
  3. Step 3: Cross multiply
    1,210,767.75x = 2,547,018 × 2,547,018
  4. Step 4: Simplify right side
    1,210,767.75x = 6,487,300,692,324
  5. Step 5: Solve for x
    x = 6,487,300,692,324/1,210,767.75
  6. Step 6: Final answer
    x = 5,358,005.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.