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Finding the Third Proportional to 771,688 and 1,692,768

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Solution

The third proportional to 771,688 and 1,692,768 is: 3,713,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,688 : 1,692,768 = 1,692,768 : x
  2. Step 2: Convert to fraction form
    771,688/1,692,768 = 1,692,768/x
  3. Step 3: Cross multiply
    771,688x = 1,692,768 × 1,692,768
  4. Step 4: Simplify right side
    771,688x = 2,865,463,501,824
  5. Step 5: Solve for x
    x = 2,865,463,501,824/771,688
  6. Step 6: Final answer
    x = 3,713,240.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.