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Finding the Third Proportional to 1,196,814 and 1,748,931

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Solution

The third proportional to 1,196,814 and 1,748,931 is: 2,555,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,814 : 1,748,931 = 1,748,931 : x
  2. Step 2: Convert to fraction form
    1,196,814/1,748,931 = 1,748,931/x
  3. Step 3: Cross multiply
    1,196,814x = 1,748,931 × 1,748,931
  4. Step 4: Simplify right side
    1,196,814x = 3,058,759,642,761
  5. Step 5: Solve for x
    x = 3,058,759,642,761/1,196,814
  6. Step 6: Final answer
    x = 2,555,751.89

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.