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Finding the Third Proportional to 897,700 and 1,967,066

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Solution

The third proportional to 897,700 and 1,967,066 is: 4,310,291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,700 : 1,967,066 = 1,967,066 : x
  2. Step 2: Convert to fraction form
    897,700/1,967,066 = 1,967,066/x
  3. Step 3: Cross multiply
    897,700x = 1,967,066 × 1,967,066
  4. Step 4: Simplify right side
    897,700x = 3,869,348,648,356
  5. Step 5: Solve for x
    x = 3,869,348,648,356/897,700
  6. Step 6: Final answer
    x = 4,310,291.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.