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Finding the Third Proportional to 917,784 and 1,349,664

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Solution

The third proportional to 917,784 and 1,349,664 is: 1,984,773.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,784 : 1,349,664 = 1,349,664 : x
  2. Step 2: Convert to fraction form
    917,784/1,349,664 = 1,349,664/x
  3. Step 3: Cross multiply
    917,784x = 1,349,664 × 1,349,664
  4. Step 4: Simplify right side
    917,784x = 1,821,592,912,896
  5. Step 5: Solve for x
    x = 1,821,592,912,896/917,784
  6. Step 6: Final answer
    x = 1,984,773.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.