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Finding the Third Proportional to 1,440,117 and 2,319,786

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Solution

The third proportional to 1,440,117 and 2,319,786 is: 3,736,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440,117 : 2,319,786 = 2,319,786 : x
  2. Step 2: Convert to fraction form
    1,440,117/2,319,786 = 2,319,786/x
  3. Step 3: Cross multiply
    1,440,117x = 2,319,786 × 2,319,786
  4. Step 4: Simplify right side
    1,440,117x = 5,381,407,085,796
  5. Step 5: Solve for x
    x = 5,381,407,085,796/1,440,117
  6. Step 6: Final answer
    x = 3,736,784.64

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.