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Finding the Third Proportional to 748,955 and 1,602,886

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Solution

The third proportional to 748,955 and 1,602,886 is: 3,430,437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,955 : 1,602,886 = 1,602,886 : x
  2. Step 2: Convert to fraction form
    748,955/1,602,886 = 1,602,886/x
  3. Step 3: Cross multiply
    748,955x = 1,602,886 × 1,602,886
  4. Step 4: Simplify right side
    748,955x = 2,569,243,528,996
  5. Step 5: Solve for x
    x = 2,569,243,528,996/748,955
  6. Step 6: Final answer
    x = 3,430,437.78

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Why These Related Problems?

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