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Finding the Third Proportional to 2,105,046 and 4,430,154

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Solution

The third proportional to 2,105,046 and 4,430,154 is: 9,323,437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,046 : 4,430,154 = 4,430,154 : x
  2. Step 2: Convert to fraction form
    2,105,046/4,430,154 = 4,430,154/x
  3. Step 3: Cross multiply
    2,105,046x = 4,430,154 × 4,430,154
  4. Step 4: Simplify right side
    2,105,046x = 19,626,264,463,716
  5. Step 5: Solve for x
    x = 19,626,264,463,716/2,105,046
  6. Step 6: Final answer
    x = 9,323,437.33

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.