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Finding the Third Proportional to 965,720 and 1,528,833

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Solution

The third proportional to 965,720 and 1,528,833 is: 2,420,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,720 : 1,528,833 = 1,528,833 : x
  2. Step 2: Convert to fraction form
    965,720/1,528,833 = 1,528,833/x
  3. Step 3: Cross multiply
    965,720x = 1,528,833 × 1,528,833
  4. Step 4: Simplify right side
    965,720x = 2,337,330,341,889
  5. Step 5: Solve for x
    x = 2,337,330,341,889/965,720
  6. Step 6: Final answer
    x = 2,420,298.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.