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Finding the Third Proportional to 459,432 and 973,417

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Solution

The third proportional to 459,432 and 973,417 is: 2,062,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,432 : 973,417 = 973,417 : x
  2. Step 2: Convert to fraction form
    459,432/973,417 = 973,417/x
  3. Step 3: Cross multiply
    459,432x = 973,417 × 973,417
  4. Step 4: Simplify right side
    459,432x = 947,540,655,889
  5. Step 5: Solve for x
    x = 947,540,655,889/459,432
  6. Step 6: Final answer
    x = 2,062,417.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.