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Finding the Third Proportional to 912,004 and 1,362,896

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Solution

The third proportional to 912,004 and 1,362,896 is: 2,036,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,004 : 1,362,896 = 1,362,896 : x
  2. Step 2: Convert to fraction form
    912,004/1,362,896 = 1,362,896/x
  3. Step 3: Cross multiply
    912,004x = 1,362,896 × 1,362,896
  4. Step 4: Simplify right side
    912,004x = 1,857,485,506,816
  5. Step 5: Solve for x
    x = 1,857,485,506,816/912,004
  6. Step 6: Final answer
    x = 2,036,707.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.