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Finding the Third Proportional to 623,543 and 1,343,254

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Solution

The third proportional to 623,543 and 1,343,254 is: 2,893,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,543 : 1,343,254 = 1,343,254 : x
  2. Step 2: Convert to fraction form
    623,543/1,343,254 = 1,343,254/x
  3. Step 3: Cross multiply
    623,543x = 1,343,254 × 1,343,254
  4. Step 4: Simplify right side
    623,543x = 1,804,331,308,516
  5. Step 5: Solve for x
    x = 1,804,331,308,516/623,543
  6. Step 6: Final answer
    x = 2,893,675.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.