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Finding the Third Proportional to 1,242,900 and 1,919,297

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Solution

The third proportional to 1,242,900 and 1,919,297 is: 2,963,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,900 : 1,919,297 = 1,919,297 : x
  2. Step 2: Convert to fraction form
    1,242,900/1,919,297 = 1,919,297/x
  3. Step 3: Cross multiply
    1,242,900x = 1,919,297 × 1,919,297
  4. Step 4: Simplify right side
    1,242,900x = 3,683,700,974,209
  5. Step 5: Solve for x
    x = 3,683,700,974,209/1,242,900
  6. Step 6: Final answer
    x = 2,963,795.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.