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Finding the Third Proportional to 2,103,594 and 4,605,216

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Solution

The third proportional to 2,103,594 and 4,605,216 is: 10,081,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103,594 : 4,605,216 = 4,605,216 : x
  2. Step 2: Convert to fraction form
    2,103,594/4,605,216 = 4,605,216/x
  3. Step 3: Cross multiply
    2,103,594x = 4,605,216 × 4,605,216
  4. Step 4: Simplify right side
    2,103,594x = 21,208,014,406,656
  5. Step 5: Solve for x
    x = 21,208,014,406,656/2,103,594
  6. Step 6: Final answer
    x = 10,081,800.20

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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.