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Finding the Third Proportional to 926,316 and 1,407,456

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Solution

The third proportional to 926,316 and 1,407,456 is: 2,138,506.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,316 : 1,407,456 = 1,407,456 : x
  2. Step 2: Convert to fraction form
    926,316/1,407,456 = 1,407,456/x
  3. Step 3: Cross multiply
    926,316x = 1,407,456 × 1,407,456
  4. Step 4: Simplify right side
    926,316x = 1,980,932,391,936
  5. Step 5: Solve for x
    x = 1,980,932,391,936/926,316
  6. Step 6: Final answer
    x = 2,138,506.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.