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Finding the Third Proportional to 2,934,964 and 6,358,440

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Solution

The third proportional to 2,934,964 and 6,358,440 is: 13,775,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934,964 : 6,358,440 = 6,358,440 : x
  2. Step 2: Convert to fraction form
    2,934,964/6,358,440 = 6,358,440/x
  3. Step 3: Cross multiply
    2,934,964x = 6,358,440 × 6,358,440
  4. Step 4: Simplify right side
    2,934,964x = 40,429,759,233,600
  5. Step 5: Solve for x
    x = 40,429,759,233,600/2,934,964
  6. Step 6: Final answer
    x = 13,775,214.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.