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Finding the Third Proportional to 896,148 and 1,387,260

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Solution

The third proportional to 896,148 and 1,387,260 is: 2,147,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,148 : 1,387,260 = 1,387,260 : x
  2. Step 2: Convert to fraction form
    896,148/1,387,260 = 1,387,260/x
  3. Step 3: Cross multiply
    896,148x = 1,387,260 × 1,387,260
  4. Step 4: Simplify right side
    896,148x = 1,924,490,307,600
  5. Step 5: Solve for x
    x = 1,924,490,307,600/896,148
  6. Step 6: Final answer
    x = 2,147,513.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.