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Finding the Third Proportional to 590,274 and 1,264,572

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Solution

The third proportional to 590,274 and 1,264,572 is: 2,709,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,274 : 1,264,572 = 1,264,572 : x
  2. Step 2: Convert to fraction form
    590,274/1,264,572 = 1,264,572/x
  3. Step 3: Cross multiply
    590,274x = 1,264,572 × 1,264,572
  4. Step 4: Simplify right side
    590,274x = 1,599,142,343,184
  5. Step 5: Solve for x
    x = 1,599,142,343,184/590,274
  6. Step 6: Final answer
    x = 2,709,152.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.