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Finding the Third Proportional to 459,547 and 997,554

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Solution

The third proportional to 459,547 and 997,554 is: 2,165,423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,547 : 997,554 = 997,554 : x
  2. Step 2: Convert to fraction form
    459,547/997,554 = 997,554/x
  3. Step 3: Cross multiply
    459,547x = 997,554 × 997,554
  4. Step 4: Simplify right side
    459,547x = 995,113,982,916
  5. Step 5: Solve for x
    x = 995,113,982,916/459,547
  6. Step 6: Final answer
    x = 2,165,423.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.