Finding the Third Proportional to 832,724 and 1,791,747
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Solution
The third proportional to 832,724 and 1,791,747 is: 3,855,247.73
Step by Step Solution
- Step 1: Write the proportion equation
832,724 : 1,791,747 = 1,791,747 : x - Step 2: Convert to fraction form
832,724/1,791,747 = 1,791,747/x - Step 3: Cross multiply
832,724x = 1,791,747 × 1,791,747 - Step 4: Simplify right side
832,724x = 3,210,357,312,009 - Step 5: Solve for x
x = 3,210,357,312,009/832,724 - Step 6: Final answer
x = 3,855,247.73
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.