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Finding the Third Proportional to 702,576 and 1,478,572

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Solution

The third proportional to 702,576 and 1,478,572 is: 3,111,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,576 : 1,478,572 = 1,478,572 : x
  2. Step 2: Convert to fraction form
    702,576/1,478,572 = 1,478,572/x
  3. Step 3: Cross multiply
    702,576x = 1,478,572 × 1,478,572
  4. Step 4: Simplify right side
    702,576x = 2,186,175,159,184
  5. Step 5: Solve for x
    x = 2,186,175,159,184/702,576
  6. Step 6: Final answer
    x = 3,111,656.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.