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Finding the Third Proportional to 660,911 and 1,050,417

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Solution

The third proportional to 660,911 and 1,050,417 is: 1,669,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,911 : 1,050,417 = 1,050,417 : x
  2. Step 2: Convert to fraction form
    660,911/1,050,417 = 1,050,417/x
  3. Step 3: Cross multiply
    660,911x = 1,050,417 × 1,050,417
  4. Step 4: Simplify right side
    660,911x = 1,103,375,873,889
  5. Step 5: Solve for x
    x = 1,103,375,873,889/660,911
  6. Step 6: Final answer
    x = 1,669,477.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.