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Finding the Third Proportional to 2,430,706 and 5,298,787

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Solution

The third proportional to 2,430,706 and 5,298,787 is: 11,551,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430,706 : 5,298,787 = 5,298,787 : x
  2. Step 2: Convert to fraction form
    2,430,706/5,298,787 = 5,298,787/x
  3. Step 3: Cross multiply
    2,430,706x = 5,298,787 × 5,298,787
  4. Step 4: Simplify right side
    2,430,706x = 28,077,143,671,369
  5. Step 5: Solve for x
    x = 28,077,143,671,369/2,430,706
  6. Step 6: Final answer
    x = 11,551,024.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.