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Finding the Third Proportional to 460,889 and 953,746

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Solution

The third proportional to 460,889 and 953,746 is: 1,973,645.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,889 : 953,746 = 953,746 : x
  2. Step 2: Convert to fraction form
    460,889/953,746 = 953,746/x
  3. Step 3: Cross multiply
    460,889x = 953,746 × 953,746
  4. Step 4: Simplify right side
    460,889x = 909,631,432,516
  5. Step 5: Solve for x
    x = 909,631,432,516/460,889
  6. Step 6: Final answer
    x = 1,973,645.35

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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.