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Finding the Third Proportional to 973,944 and 2,134,696

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Solution

The third proportional to 973,944 and 2,134,696 is: 4,678,838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,944 : 2,134,696 = 2,134,696 : x
  2. Step 2: Convert to fraction form
    973,944/2,134,696 = 2,134,696/x
  3. Step 3: Cross multiply
    973,944x = 2,134,696 × 2,134,696
  4. Step 4: Simplify right side
    973,944x = 4,556,927,012,416
  5. Step 5: Solve for x
    x = 4,556,927,012,416/973,944
  6. Step 6: Final answer
    x = 4,678,838.84

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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.