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Finding the Third Proportional to 702,931 and 1,089,389

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Solution

The third proportional to 702,931 and 1,089,389 is: 1,688,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,931 : 1,089,389 = 1,089,389 : x
  2. Step 2: Convert to fraction form
    702,931/1,089,389 = 1,089,389/x
  3. Step 3: Cross multiply
    702,931x = 1,089,389 × 1,089,389
  4. Step 4: Simplify right side
    702,931x = 1,186,768,393,321
  5. Step 5: Solve for x
    x = 1,186,768,393,321/702,931
  6. Step 6: Final answer
    x = 1,688,314.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.