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Finding the Third Proportional to 1,570,953 and 2,402,121

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Solution

The third proportional to 1,570,953 and 2,402,121 is: 3,673,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570,953 : 2,402,121 = 2,402,121 : x
  2. Step 2: Convert to fraction form
    1,570,953/2,402,121 = 2,402,121/x
  3. Step 3: Cross multiply
    1,570,953x = 2,402,121 × 2,402,121
  4. Step 4: Simplify right side
    1,570,953x = 5,770,185,298,641
  5. Step 5: Solve for x
    x = 5,770,185,298,641/1,570,953
  6. Step 6: Final answer
    x = 3,673,047.70

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Why These Related Problems?

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