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Finding the Third Proportional to 2,948,461 and 6,306,804

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Solution

The third proportional to 2,948,461 and 6,306,804 is: 13,490,351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948,461 : 6,306,804 = 6,306,804 : x
  2. Step 2: Convert to fraction form
    2,948,461/6,306,804 = 6,306,804/x
  3. Step 3: Cross multiply
    2,948,461x = 6,306,804 × 6,306,804
  4. Step 4: Simplify right side
    2,948,461x = 39,775,776,694,416
  5. Step 5: Solve for x
    x = 39,775,776,694,416/2,948,461
  6. Step 6: Final answer
    x = 13,490,351.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.