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Finding the Third Proportional to 802,312 and 1,762,094

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Solution

The third proportional to 802,312 and 1,762,094 is: 3,870,034.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,312 : 1,762,094 = 1,762,094 : x
  2. Step 2: Convert to fraction form
    802,312/1,762,094 = 1,762,094/x
  3. Step 3: Cross multiply
    802,312x = 1,762,094 × 1,762,094
  4. Step 4: Simplify right side
    802,312x = 3,104,975,264,836
  5. Step 5: Solve for x
    x = 3,104,975,264,836/802,312
  6. Step 6: Final answer
    x = 3,870,034.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.