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Finding the Third Proportional to 709,965 and 1,528,187

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Solution

The third proportional to 709,965 and 1,528,187 is: 3,289,395.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,965 : 1,528,187 = 1,528,187 : x
  2. Step 2: Convert to fraction form
    709,965/1,528,187 = 1,528,187/x
  3. Step 3: Cross multiply
    709,965x = 1,528,187 × 1,528,187
  4. Step 4: Simplify right side
    709,965x = 2,335,355,506,969
  5. Step 5: Solve for x
    x = 2,335,355,506,969/709,965
  6. Step 6: Final answer
    x = 3,289,395.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.