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Finding the Third Proportional to 846,018 and 1,295,784

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Solution

The third proportional to 846,018 and 1,295,784 is: 1,984,657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,018 : 1,295,784 = 1,295,784 : x
  2. Step 2: Convert to fraction form
    846,018/1,295,784 = 1,295,784/x
  3. Step 3: Cross multiply
    846,018x = 1,295,784 × 1,295,784
  4. Step 4: Simplify right side
    846,018x = 1,679,056,174,656
  5. Step 5: Solve for x
    x = 1,679,056,174,656/846,018
  6. Step 6: Final answer
    x = 1,984,657.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.