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Finding the Third Proportional to 2,421,985 and 5,709,293

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Solution

The third proportional to 2,421,985 and 5,709,293 is: 13,458,393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421,985 : 5,709,293 = 5,709,293 : x
  2. Step 2: Convert to fraction form
    2,421,985/5,709,293 = 5,709,293/x
  3. Step 3: Cross multiply
    2,421,985x = 5,709,293 × 5,709,293
  4. Step 4: Simplify right side
    2,421,985x = 32,596,026,559,849
  5. Step 5: Solve for x
    x = 32,596,026,559,849/2,421,985
  6. Step 6: Final answer
    x = 13,458,393.24

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.