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Finding the Third Proportional to 702,628 and 1,052,020

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Solution

The third proportional to 702,628 and 1,052,020 is: 1,575,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,628 : 1,052,020 = 1,052,020 : x
  2. Step 2: Convert to fraction form
    702,628/1,052,020 = 1,052,020/x
  3. Step 3: Cross multiply
    702,628x = 1,052,020 × 1,052,020
  4. Step 4: Simplify right side
    702,628x = 1,106,746,080,400
  5. Step 5: Solve for x
    x = 1,106,746,080,400/702,628
  6. Step 6: Final answer
    x = 1,575,152.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.