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Finding the Third Proportional to 846,020 and 1,295,787

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Solution

The third proportional to 846,020 and 1,295,787 is: 1,984,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,020 : 1,295,787 = 1,295,787 : x
  2. Step 2: Convert to fraction form
    846,020/1,295,787 = 1,295,787/x
  3. Step 3: Cross multiply
    846,020x = 1,295,787 × 1,295,787
  4. Step 4: Simplify right side
    846,020x = 1,679,063,949,369
  5. Step 5: Solve for x
    x = 1,679,063,949,369/846,020
  6. Step 6: Final answer
    x = 1,984,662.24

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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.