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Finding the Third Proportional to 708,952 and 1,089,709

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Solution

The third proportional to 708,952 and 1,089,709 is: 1,674,959.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,952 : 1,089,709 = 1,089,709 : x
  2. Step 2: Convert to fraction form
    708,952/1,089,709 = 1,089,709/x
  3. Step 3: Cross multiply
    708,952x = 1,089,709 × 1,089,709
  4. Step 4: Simplify right side
    708,952x = 1,187,465,704,681
  5. Step 5: Solve for x
    x = 1,187,465,704,681/708,952
  6. Step 6: Final answer
    x = 1,674,959.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.