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Finding the Third Proportional to 760,352 and 1,633,024

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Solution

The third proportional to 760,352 and 1,633,024 is: 3,507,280.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,352 : 1,633,024 = 1,633,024 : x
  2. Step 2: Convert to fraction form
    760,352/1,633,024 = 1,633,024/x
  3. Step 3: Cross multiply
    760,352x = 1,633,024 × 1,633,024
  4. Step 4: Simplify right side
    760,352x = 2,666,767,384,576
  5. Step 5: Solve for x
    x = 2,666,767,384,576/760,352
  6. Step 6: Final answer
    x = 3,507,280.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.