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Finding the Third Proportional to 2,961,054 and 6,429,480

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Solution

The third proportional to 2,961,054 and 6,429,480 is: 13,960,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961,054 : 6,429,480 = 6,429,480 : x
  2. Step 2: Convert to fraction form
    2,961,054/6,429,480 = 6,429,480/x
  3. Step 3: Cross multiply
    2,961,054x = 6,429,480 × 6,429,480
  4. Step 4: Simplify right side
    2,961,054x = 41,338,213,070,400
  5. Step 5: Solve for x
    x = 41,338,213,070,400/2,961,054
  6. Step 6: Final answer
    x = 13,960,641.40

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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.