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Finding the Third Proportional to 1,602,709 and 2,291,712

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Solution

The third proportional to 1,602,709 and 2,291,712 is: 3,276,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,709 : 2,291,712 = 2,291,712 : x
  2. Step 2: Convert to fraction form
    1,602,709/2,291,712 = 2,291,712/x
  3. Step 3: Cross multiply
    1,602,709x = 2,291,712 × 2,291,712
  4. Step 4: Simplify right side
    1,602,709x = 5,251,943,890,944
  5. Step 5: Solve for x
    x = 5,251,943,890,944/1,602,709
  6. Step 6: Final answer
    x = 3,276,916.70

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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.