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Finding the Third Proportional to 1,602,705 and 2,291,706

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Solution

The third proportional to 1,602,705 and 2,291,706 is: 3,276,907.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,705 : 2,291,706 = 2,291,706 : x
  2. Step 2: Convert to fraction form
    1,602,705/2,291,706 = 2,291,706/x
  3. Step 3: Cross multiply
    1,602,705x = 2,291,706 × 2,291,706
  4. Step 4: Simplify right side
    1,602,705x = 5,251,916,390,436
  5. Step 5: Solve for x
    x = 5,251,916,390,436/1,602,705
  6. Step 6: Final answer
    x = 3,276,907.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.