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Finding the Third Proportional to 586,764 and 1,287,576

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Solution

The third proportional to 586,764 and 1,287,576 is: 2,825,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,764 : 1,287,576 = 1,287,576 : x
  2. Step 2: Convert to fraction form
    586,764/1,287,576 = 1,287,576/x
  3. Step 3: Cross multiply
    586,764x = 1,287,576 × 1,287,576
  4. Step 4: Simplify right side
    586,764x = 1,657,851,955,776
  5. Step 5: Solve for x
    x = 1,657,851,955,776/586,764
  6. Step 6: Final answer
    x = 2,825,415.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.