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Finding the Third Proportional to 2,117,352 and 4,615,368

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Solution

The third proportional to 2,117,352 and 4,615,368 is: 10,060,500.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117,352 : 4,615,368 = 4,615,368 : x
  2. Step 2: Convert to fraction form
    2,117,352/4,615,368 = 4,615,368/x
  3. Step 3: Cross multiply
    2,117,352x = 4,615,368 × 4,615,368
  4. Step 4: Simplify right side
    2,117,352x = 21,301,621,775,424
  5. Step 5: Solve for x
    x = 21,301,621,775,424/2,117,352
  6. Step 6: Final answer
    x = 10,060,500.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.