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Finding the Third Proportional to 710,464 and 1,000,600

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Solution

The third proportional to 710,464 and 1,000,600 is: 1,409,220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,464 : 1,000,600 = 1,000,600 : x
  2. Step 2: Convert to fraction form
    710,464/1,000,600 = 1,000,600/x
  3. Step 3: Cross multiply
    710,464x = 1,000,600 × 1,000,600
  4. Step 4: Simplify right side
    710,464x = 1,001,200,360,000
  5. Step 5: Solve for x
    x = 1,001,200,360,000/710,464
  6. Step 6: Final answer
    x = 1,409,220.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.