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Finding the Third Proportional to 638,598 and 1,064,289

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Solution

The third proportional to 638,598 and 1,064,289 is: 1,773,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,598 : 1,064,289 = 1,064,289 : x
  2. Step 2: Convert to fraction form
    638,598/1,064,289 = 1,064,289/x
  3. Step 3: Cross multiply
    638,598x = 1,064,289 × 1,064,289
  4. Step 4: Simplify right side
    638,598x = 1,132,711,075,521
  5. Step 5: Solve for x
    x = 1,132,711,075,521/638,598
  6. Step 6: Final answer
    x = 1,773,746.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.