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Finding the Third Proportional to 662,228 and 1,430,316

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Solution

The third proportional to 662,228 and 1,430,316 is: 3,089,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,228 : 1,430,316 = 1,430,316 : x
  2. Step 2: Convert to fraction form
    662,228/1,430,316 = 1,430,316/x
  3. Step 3: Cross multiply
    662,228x = 1,430,316 × 1,430,316
  4. Step 4: Simplify right side
    662,228x = 2,045,803,859,856
  5. Step 5: Solve for x
    x = 2,045,803,859,856/662,228
  6. Step 6: Final answer
    x = 3,089,274.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.