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Finding the Third Proportional to 2,054,935 and 4,460,033

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Solution

The third proportional to 2,054,935 and 4,460,033 is: 9,680,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054,935 : 4,460,033 = 4,460,033 : x
  2. Step 2: Convert to fraction form
    2,054,935/4,460,033 = 4,460,033/x
  3. Step 3: Cross multiply
    2,054,935x = 4,460,033 × 4,460,033
  4. Step 4: Simplify right side
    2,054,935x = 19,891,894,361,089
  5. Step 5: Solve for x
    x = 19,891,894,361,089/2,054,935
  6. Step 6: Final answer
    x = 9,680,060.13

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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.