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Finding the Third Proportional to 1,931,164 and 4,194,154

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Solution

The third proportional to 1,931,164 and 4,194,154 is: 9,108,976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931,164 : 4,194,154 = 4,194,154 : x
  2. Step 2: Convert to fraction form
    1,931,164/4,194,154 = 4,194,154/x
  3. Step 3: Cross multiply
    1,931,164x = 4,194,154 × 4,194,154
  4. Step 4: Simplify right side
    1,931,164x = 17,590,927,775,716
  5. Step 5: Solve for x
    x = 17,590,927,775,716/1,931,164
  6. Step 6: Final answer
    x = 9,108,976.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.