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Finding the Third Proportional to 2,130,480 and 2,879,352

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Solution

The third proportional to 2,130,480 and 2,879,352 is: 3,891,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130,480 : 2,879,352 = 2,879,352 : x
  2. Step 2: Convert to fraction form
    2,130,480/2,879,352 = 2,879,352/x
  3. Step 3: Cross multiply
    2,130,480x = 2,879,352 × 2,879,352
  4. Step 4: Simplify right side
    2,130,480x = 8,290,667,939,904
  5. Step 5: Solve for x
    x = 8,290,667,939,904/2,130,480
  6. Step 6: Final answer
    x = 3,891,455.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.