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Finding the Third Proportional to 1,175,050 and 1,585,420

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Solution

The third proportional to 1,175,050 and 1,585,420 is: 2,139,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175,050 : 1,585,420 = 1,585,420 : x
  2. Step 2: Convert to fraction form
    1,175,050/1,585,420 = 1,585,420/x
  3. Step 3: Cross multiply
    1,175,050x = 1,585,420 × 1,585,420
  4. Step 4: Simplify right side
    1,175,050x = 2,513,556,576,400
  5. Step 5: Solve for x
    x = 2,513,556,576,400/1,175,050
  6. Step 6: Final answer
    x = 2,139,106.06

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.