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Finding the Third Proportional to 461,547 and 996,905

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Solution

The third proportional to 461,547 and 996,905 is: 2,153,235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,547 : 996,905 = 996,905 : x
  2. Step 2: Convert to fraction form
    461,547/996,905 = 996,905/x
  3. Step 3: Cross multiply
    461,547x = 996,905 × 996,905
  4. Step 4: Simplify right side
    461,547x = 993,819,579,025
  5. Step 5: Solve for x
    x = 993,819,579,025/461,547
  6. Step 6: Final answer
    x = 2,153,235.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.