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Finding the Third Proportional to 458,160 and 947,748

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Solution

The third proportional to 458,160 and 947,748 is: 1,960,507.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,160 : 947,748 = 947,748 : x
  2. Step 2: Convert to fraction form
    458,160/947,748 = 947,748/x
  3. Step 3: Cross multiply
    458,160x = 947,748 × 947,748
  4. Step 4: Simplify right side
    458,160x = 898,226,271,504
  5. Step 5: Solve for x
    x = 898,226,271,504/458,160
  6. Step 6: Final answer
    x = 1,960,507.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.