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Finding the Third Proportional to 2,948,364 and 6,430,356

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Solution

The third proportional to 2,948,364 and 6,430,356 is: 14,024,549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948,364 : 6,430,356 = 6,430,356 : x
  2. Step 2: Convert to fraction form
    2,948,364/6,430,356 = 6,430,356/x
  3. Step 3: Cross multiply
    2,948,364x = 6,430,356 × 6,430,356
  4. Step 4: Simplify right side
    2,948,364x = 41,349,478,286,736
  5. Step 5: Solve for x
    x = 41,349,478,286,736/2,948,364
  6. Step 6: Final answer
    x = 14,024,549.98

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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.