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Finding the Third Proportional to 742,276 and 1,152,222

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Solution

The third proportional to 742,276 and 1,152,222 is: 1,788,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,276 : 1,152,222 = 1,152,222 : x
  2. Step 2: Convert to fraction form
    742,276/1,152,222 = 1,152,222/x
  3. Step 3: Cross multiply
    742,276x = 1,152,222 × 1,152,222
  4. Step 4: Simplify right side
    742,276x = 1,327,615,537,284
  5. Step 5: Solve for x
    x = 1,327,615,537,284/742,276
  6. Step 6: Final answer
    x = 1,788,573.98

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