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Finding the Third Proportional to 932,858 and 1,440,513

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Solution

The third proportional to 932,858 and 1,440,513 is: 2,224,430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,858 : 1,440,513 = 1,440,513 : x
  2. Step 2: Convert to fraction form
    932,858/1,440,513 = 1,440,513/x
  3. Step 3: Cross multiply
    932,858x = 1,440,513 × 1,440,513
  4. Step 4: Simplify right side
    932,858x = 2,075,077,703,169
  5. Step 5: Solve for x
    x = 2,075,077,703,169/932,858
  6. Step 6: Final answer
    x = 2,224,430.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.