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Finding the Third Proportional to 914,002.31 and 1,980,547.31

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Solution

The third proportional to 914,002.31 and 1,980,547.31 is: 4,291,638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,002.31 : 1,980,547.31 = 1,980,547.31 : x
  2. Step 2: Convert to fraction form
    914,002.31/1,980,547.31 = 1,980,547.31/x
  3. Step 3: Cross multiply
    914,002.31x = 1,980,547.31 × 1,980,547.31
  4. Step 4: Simplify right side
    914,002.31x = 3,922,567,657,050.97
  5. Step 5: Solve for x
    x = 3,922,567,657,050.97/914,002.31
  6. Step 6: Final answer
    x = 4,291,638.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.