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Finding the Third Proportional to 1,602,708 and 2,291,710.50

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Solution

The third proportional to 1,602,708 and 2,291,710.50 is: 3,276,914.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,708 : 2,291,710.50 = 2,291,710.50 : x
  2. Step 2: Convert to fraction form
    1,602,708/2,291,710.50 = 2,291,710.50/x
  3. Step 3: Cross multiply
    1,602,708x = 2,291,710.50 × 2,291,710.50
  4. Step 4: Simplify right side
    1,602,708x = 5,251,937,015,810.25
  5. Step 5: Solve for x
    x = 5,251,937,015,810.25/1,602,708
  6. Step 6: Final answer
    x = 3,276,914.46

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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.