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Finding the Third Proportional to 582,582 and 1,249,080

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Solution

The third proportional to 582,582 and 1,249,080 is: 2,678,079.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,582 : 1,249,080 = 1,249,080 : x
  2. Step 2: Convert to fraction form
    582,582/1,249,080 = 1,249,080/x
  3. Step 3: Cross multiply
    582,582x = 1,249,080 × 1,249,080
  4. Step 4: Simplify right side
    582,582x = 1,560,200,846,400
  5. Step 5: Solve for x
    x = 1,560,200,846,400/582,582
  6. Step 6: Final answer
    x = 2,678,079.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.