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Finding the Third Proportional to 424,176 and 909,070.50

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Solution

The third proportional to 424,176 and 909,070.50 is: 1,948,269.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,176 : 909,070.50 = 909,070.50 : x
  2. Step 2: Convert to fraction form
    424,176/909,070.50 = 909,070.50/x
  3. Step 3: Cross multiply
    424,176x = 909,070.50 × 909,070.50
  4. Step 4: Simplify right side
    424,176x = 826,409,173,970.25
  5. Step 5: Solve for x
    x = 826,409,173,970.25/424,176
  6. Step 6: Final answer
    x = 1,948,269.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.