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Finding the Third Proportional to 842,146 and 1,294,457

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Solution

The third proportional to 842,146 and 1,294,457 is: 1,989,701.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,146 : 1,294,457 = 1,294,457 : x
  2. Step 2: Convert to fraction form
    842,146/1,294,457 = 1,294,457/x
  3. Step 3: Cross multiply
    842,146x = 1,294,457 × 1,294,457
  4. Step 4: Simplify right side
    842,146x = 1,675,618,924,849
  5. Step 5: Solve for x
    x = 1,675,618,924,849/842,146
  6. Step 6: Final answer
    x = 1,989,701.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.