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Finding the Third Proportional to 673,688 and 1,440,724

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Solution

The third proportional to 673,688 and 1,440,724 is: 3,081,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,688 : 1,440,724 = 1,440,724 : x
  2. Step 2: Convert to fraction form
    673,688/1,440,724 = 1,440,724/x
  3. Step 3: Cross multiply
    673,688x = 1,440,724 × 1,440,724
  4. Step 4: Simplify right side
    673,688x = 2,075,685,644,176
  5. Step 5: Solve for x
    x = 2,075,685,644,176/673,688
  6. Step 6: Final answer
    x = 3,081,078.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.