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Finding the Third Proportional to 595,284.19 and 922,017.94

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Solution

The third proportional to 595,284.19 and 922,017.94 is: 1,428,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,284.19 : 922,017.94 = 922,017.94 : x
  2. Step 2: Convert to fraction form
    595,284.19/922,017.94 = 922,017.94/x
  3. Step 3: Cross multiply
    595,284.19x = 922,017.94 × 922,017.94
  4. Step 4: Simplify right side
    595,284.19x = 850,117,077,071.75
  5. Step 5: Solve for x
    x = 850,117,077,071.75/595,284.19
  6. Step 6: Final answer
    x = 1,428,086.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.