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Finding the Third Proportional to 1,298,066 and 1,936,297

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Solution

The third proportional to 1,298,066 and 1,936,297 is: 2,888,332.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,066 : 1,936,297 = 1,936,297 : x
  2. Step 2: Convert to fraction form
    1,298,066/1,936,297 = 1,936,297/x
  3. Step 3: Cross multiply
    1,298,066x = 1,936,297 × 1,936,297
  4. Step 4: Simplify right side
    1,298,066x = 3,749,246,072,209
  5. Step 5: Solve for x
    x = 3,749,246,072,209/1,298,066
  6. Step 6: Final answer
    x = 2,888,332.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.