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Finding the Third Proportional to 569,301 and 1,223,022

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Solution

The third proportional to 569,301 and 1,223,022 is: 2,627,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,301 : 1,223,022 = 1,223,022 : x
  2. Step 2: Convert to fraction form
    569,301/1,223,022 = 1,223,022/x
  3. Step 3: Cross multiply
    569,301x = 1,223,022 × 1,223,022
  4. Step 4: Simplify right side
    569,301x = 1,495,782,812,484
  5. Step 5: Solve for x
    x = 1,495,782,812,484/569,301
  6. Step 6: Final answer
    x = 2,627,402.40

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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.