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Finding the Third Proportional to 762,607 and 1,658,030

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Solution

The third proportional to 762,607 and 1,658,030 is: 3,604,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,607 : 1,658,030 = 1,658,030 : x
  2. Step 2: Convert to fraction form
    762,607/1,658,030 = 1,658,030/x
  3. Step 3: Cross multiply
    762,607x = 1,658,030 × 1,658,030
  4. Step 4: Simplify right side
    762,607x = 2,749,063,480,900
  5. Step 5: Solve for x
    x = 2,749,063,480,900/762,607
  6. Step 6: Final answer
    x = 3,604,823.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.