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Finding the Third Proportional to 2,205,345 and 4,748,595

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Solution

The third proportional to 2,205,345 and 4,748,595 is: 10,224,774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205,345 : 4,748,595 = 4,748,595 : x
  2. Step 2: Convert to fraction form
    2,205,345/4,748,595 = 4,748,595/x
  3. Step 3: Cross multiply
    2,205,345x = 4,748,595 × 4,748,595
  4. Step 4: Simplify right side
    2,205,345x = 22,549,154,474,025
  5. Step 5: Solve for x
    x = 22,549,154,474,025/2,205,345
  6. Step 6: Final answer
    x = 10,224,774.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.