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Finding the Third Proportional to 1,570,944 and 2,402,106

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Solution

The third proportional to 1,570,944 and 2,402,106 is: 3,673,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570,944 : 2,402,106 = 2,402,106 : x
  2. Step 2: Convert to fraction form
    1,570,944/2,402,106 = 2,402,106/x
  3. Step 3: Cross multiply
    1,570,944x = 2,402,106 × 2,402,106
  4. Step 4: Simplify right side
    1,570,944x = 5,770,113,235,236
  5. Step 5: Solve for x
    x = 5,770,113,235,236/1,570,944
  6. Step 6: Final answer
    x = 3,673,022.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.