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Finding the Third Proportional to 917,342 and 1,349,047

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Solution

The third proportional to 917,342 and 1,349,047 is: 1,983,914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,342 : 1,349,047 = 1,349,047 : x
  2. Step 2: Convert to fraction form
    917,342/1,349,047 = 1,349,047/x
  3. Step 3: Cross multiply
    917,342x = 1,349,047 × 1,349,047
  4. Step 4: Simplify right side
    917,342x = 1,819,927,808,209
  5. Step 5: Solve for x
    x = 1,819,927,808,209/917,342
  6. Step 6: Final answer
    x = 1,983,914.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.