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Finding the Third Proportional to 2,130,711 and 4,577,646

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Solution

The third proportional to 2,130,711 and 4,577,646 is: 9,834,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130,711 : 4,577,646 = 4,577,646 : x
  2. Step 2: Convert to fraction form
    2,130,711/4,577,646 = 4,577,646/x
  3. Step 3: Cross multiply
    2,130,711x = 4,577,646 × 4,577,646
  4. Step 4: Simplify right side
    2,130,711x = 20,954,842,901,316
  5. Step 5: Solve for x
    x = 20,954,842,901,316/2,130,711
  6. Step 6: Final answer
    x = 9,834,671.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.