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Finding the Third Proportional to 897,480 and 1,919,472

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Solution

The third proportional to 897,480 and 1,919,472 is: 4,105,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,480 : 1,919,472 = 1,919,472 : x
  2. Step 2: Convert to fraction form
    897,480/1,919,472 = 1,919,472/x
  3. Step 3: Cross multiply
    897,480x = 1,919,472 × 1,919,472
  4. Step 4: Simplify right side
    897,480x = 3,684,372,758,784
  5. Step 5: Solve for x
    x = 3,684,372,758,784/897,480
  6. Step 6: Final answer
    x = 4,105,242.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.