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Finding the Third Proportional to 462,070 and 931,008

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Solution

The third proportional to 462,070 and 931,008 is: 1,875,854.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,070 : 931,008 = 931,008 : x
  2. Step 2: Convert to fraction form
    462,070/931,008 = 931,008/x
  3. Step 3: Cross multiply
    462,070x = 931,008 × 931,008
  4. Step 4: Simplify right side
    462,070x = 866,775,896,064
  5. Step 5: Solve for x
    x = 866,775,896,064/462,070
  6. Step 6: Final answer
    x = 1,875,854.08

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.