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Finding the Third Proportional to 923,240 and 1,460,664

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Solution

The third proportional to 923,240 and 1,460,664 is: 2,310,926.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,240 : 1,460,664 = 1,460,664 : x
  2. Step 2: Convert to fraction form
    923,240/1,460,664 = 1,460,664/x
  3. Step 3: Cross multiply
    923,240x = 1,460,664 × 1,460,664
  4. Step 4: Simplify right side
    923,240x = 2,133,539,320,896
  5. Step 5: Solve for x
    x = 2,133,539,320,896/923,240
  6. Step 6: Final answer
    x = 2,310,926.00

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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.