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Finding the Third Proportional to 2,365,394 and 3,706,335

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Solution

The third proportional to 2,365,394 and 3,706,335 is: 5,807,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365,394 : 3,706,335 = 3,706,335 : x
  2. Step 2: Convert to fraction form
    2,365,394/3,706,335 = 3,706,335/x
  3. Step 3: Cross multiply
    2,365,394x = 3,706,335 × 3,706,335
  4. Step 4: Simplify right side
    2,365,394x = 13,736,919,132,225
  5. Step 5: Solve for x
    x = 13,736,919,132,225/2,365,394
  6. Step 6: Final answer
    x = 5,807,454.97

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.