Finding the Third Proportional to 930,942 and 1,423,467
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Solution
The third proportional to 930,942 and 1,423,467 is: 2,176,567.71
Step by Step Solution
- Step 1: Write the proportion equation
930,942 : 1,423,467 = 1,423,467 : x - Step 2: Convert to fraction form
930,942/1,423,467 = 1,423,467/x - Step 3: Cross multiply
930,942x = 1,423,467 × 1,423,467 - Step 4: Simplify right side
930,942x = 2,026,258,300,089 - Step 5: Solve for x
x = 2,026,258,300,089/930,942 - Step 6: Final answer
x = 2,176,567.71
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.