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Finding the Third Proportional to 916,020 and 1,401,246

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Solution

The third proportional to 916,020 and 1,401,246 is: 2,143,501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,020 : 1,401,246 = 1,401,246 : x
  2. Step 2: Convert to fraction form
    916,020/1,401,246 = 1,401,246/x
  3. Step 3: Cross multiply
    916,020x = 1,401,246 × 1,401,246
  4. Step 4: Simplify right side
    916,020x = 1,963,490,352,516
  5. Step 5: Solve for x
    x = 1,963,490,352,516/916,020
  6. Step 6: Final answer
    x = 2,143,501.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.