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Finding the Third Proportional to 2,421,998 and 5,709,328

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Solution

The third proportional to 2,421,998 and 5,709,328 is: 13,458,486.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421,998 : 5,709,328 = 5,709,328 : x
  2. Step 2: Convert to fraction form
    2,421,998/5,709,328 = 5,709,328/x
  3. Step 3: Cross multiply
    2,421,998x = 5,709,328 × 5,709,328
  4. Step 4: Simplify right side
    2,421,998x = 32,596,426,211,584
  5. Step 5: Solve for x
    x = 32,596,426,211,584/2,421,998
  6. Step 6: Final answer
    x = 13,458,486.02

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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.