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Finding the Third Proportional to 849,223 and 1,303,319

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Solution

The third proportional to 849,223 and 1,303,319 is: 2,000,228.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,223 : 1,303,319 = 1,303,319 : x
  2. Step 2: Convert to fraction form
    849,223/1,303,319 = 1,303,319/x
  3. Step 3: Cross multiply
    849,223x = 1,303,319 × 1,303,319
  4. Step 4: Simplify right side
    849,223x = 1,698,640,415,761
  5. Step 5: Solve for x
    x = 1,698,640,415,761/849,223
  6. Step 6: Final answer
    x = 2,000,228.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.