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Finding the Third Proportional to 710,440 and 1,000,564

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Solution

The third proportional to 710,440 and 1,000,564 is: 1,409,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,440 : 1,000,564 = 1,000,564 : x
  2. Step 2: Convert to fraction form
    710,440/1,000,564 = 1,000,564/x
  3. Step 3: Cross multiply
    710,440x = 1,000,564 × 1,000,564
  4. Step 4: Simplify right side
    710,440x = 1,001,128,318,096
  5. Step 5: Solve for x
    x = 1,001,128,318,096/710,440
  6. Step 6: Final answer
    x = 1,409,166.60

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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.