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Finding the Third Proportional to 702,914 and 1,089,363

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Solution

The third proportional to 702,914 and 1,089,363 is: 1,688,274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,914 : 1,089,363 = 1,089,363 : x
  2. Step 2: Convert to fraction form
    702,914/1,089,363 = 1,089,363/x
  3. Step 3: Cross multiply
    702,914x = 1,089,363 × 1,089,363
  4. Step 4: Simplify right side
    702,914x = 1,186,711,745,769
  5. Step 5: Solve for x
    x = 1,186,711,745,769/702,914
  6. Step 6: Final answer
    x = 1,688,274.45

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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.