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Finding the Third Proportional to 604,556 and 1,319,900

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Solution

The third proportional to 604,556 and 1,319,900 is: 2,881,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,556 : 1,319,900 = 1,319,900 : x
  2. Step 2: Convert to fraction form
    604,556/1,319,900 = 1,319,900/x
  3. Step 3: Cross multiply
    604,556x = 1,319,900 × 1,319,900
  4. Step 4: Simplify right side
    604,556x = 1,742,136,010,000
  5. Step 5: Solve for x
    x = 1,742,136,010,000/604,556
  6. Step 6: Final answer
    x = 2,881,678.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.