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Finding the Third Proportional to 2,430,416 and 5,318,312

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Solution

The third proportional to 2,430,416 and 5,318,312 is: 11,637,695.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430,416 : 5,318,312 = 5,318,312 : x
  2. Step 2: Convert to fraction form
    2,430,416/5,318,312 = 5,318,312/x
  3. Step 3: Cross multiply
    2,430,416x = 5,318,312 × 5,318,312
  4. Step 4: Simplify right side
    2,430,416x = 28,284,442,529,344
  5. Step 5: Solve for x
    x = 28,284,442,529,344/2,430,416
  6. Step 6: Final answer
    x = 11,637,695.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.