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Finding the Third Proportional to 668,564 and 1,430,440

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Solution

The third proportional to 668,564 and 1,430,440 is: 3,060,527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,564 : 1,430,440 = 1,430,440 : x
  2. Step 2: Convert to fraction form
    668,564/1,430,440 = 1,430,440/x
  3. Step 3: Cross multiply
    668,564x = 1,430,440 × 1,430,440
  4. Step 4: Simplify right side
    668,564x = 2,046,158,593,600
  5. Step 5: Solve for x
    x = 2,046,158,593,600/668,564
  6. Step 6: Final answer
    x = 3,060,527.63

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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.