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Finding the Third Proportional to 1,570,963 and 3,421,853

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Solution

The third proportional to 1,570,963 and 3,421,853 is: 7,453,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570,963 : 3,421,853 = 3,421,853 : x
  2. Step 2: Convert to fraction form
    1,570,963/3,421,853 = 3,421,853/x
  3. Step 3: Cross multiply
    1,570,963x = 3,421,853 × 3,421,853
  4. Step 4: Simplify right side
    1,570,963x = 11,709,077,953,609
  5. Step 5: Solve for x
    x = 11,709,077,953,609/1,570,963
  6. Step 6: Final answer
    x = 7,453,439.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.