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Finding the Third Proportional to 460,835 and 953,641

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Solution

The third proportional to 460,835 and 953,641 is: 1,973,442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,835 : 953,641 = 953,641 : x
  2. Step 2: Convert to fraction form
    460,835/953,641 = 953,641/x
  3. Step 3: Cross multiply
    460,835x = 953,641 × 953,641
  4. Step 4: Simplify right side
    460,835x = 909,431,156,881
  5. Step 5: Solve for x
    x = 909,431,156,881/460,835
  6. Step 6: Final answer
    x = 1,973,442.03

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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.