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Finding the Third Proportional to 4,573,269 and 6,688,143

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Solution

The third proportional to 4,573,269 and 6,688,143 is: 9,781,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573,269 : 6,688,143 = 6,688,143 : x
  2. Step 2: Convert to fraction form
    4,573,269/6,688,143 = 6,688,143/x
  3. Step 3: Cross multiply
    4,573,269x = 6,688,143 × 6,688,143
  4. Step 4: Simplify right side
    4,573,269x = 44,731,256,788,449
  5. Step 5: Solve for x
    x = 44,731,256,788,449/4,573,269
  6. Step 6: Final answer
    x = 9,781,024.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.