Finding the Third Proportional to 723,830 and 1,429,494
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Solution
The third proportional to 723,830 and 1,429,494 is: 2,823,111.91
Step by Step Solution
- Step 1: Write the proportion equation
723,830 : 1,429,494 = 1,429,494 : x - Step 2: Convert to fraction form
723,830/1,429,494 = 1,429,494/x - Step 3: Cross multiply
723,830x = 1,429,494 × 1,429,494 - Step 4: Simplify right side
723,830x = 2,043,453,096,036 - Step 5: Solve for x
x = 2,043,453,096,036/723,830 - Step 6: Final answer
x = 2,823,111.91
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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.