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Finding the Third Proportional to 2,583,585 and 6,034,501

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Solution

The third proportional to 2,583,585 and 6,034,501 is: 14,094,834.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583,585 : 6,034,501 = 6,034,501 : x
  2. Step 2: Convert to fraction form
    2,583,585/6,034,501 = 6,034,501/x
  3. Step 3: Cross multiply
    2,583,585x = 6,034,501 × 6,034,501
  4. Step 4: Simplify right side
    2,583,585x = 36,415,202,319,001
  5. Step 5: Solve for x
    x = 36,415,202,319,001/2,583,585
  6. Step 6: Final answer
    x = 14,094,834.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.