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Finding the Third Proportional to 676,466 and 1,457,584

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Solution

The third proportional to 676,466 and 1,457,584 is: 3,140,662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,466 : 1,457,584 = 1,457,584 : x
  2. Step 2: Convert to fraction form
    676,466/1,457,584 = 1,457,584/x
  3. Step 3: Cross multiply
    676,466x = 1,457,584 × 1,457,584
  4. Step 4: Simplify right side
    676,466x = 2,124,551,117,056
  5. Step 5: Solve for x
    x = 2,124,551,117,056/676,466
  6. Step 6: Final answer
    x = 3,140,662.08

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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.